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style='width:71.0%;background:#CC99FF;padding:3.0pt 3.0pt 3.0pt 3.0pt; height:36.0pt'> <p><b><span style='font-size:18.0pt;font-family:Arial'>Introducción al Análisis Funcional 22036. </span></b></p> </td> </tr> </table> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <ul type=disc> <li class=MsoNormal style='color:blue;mso-margin-top-alt:auto;mso-margin-bottom-alt: auto;mso-list:l3 level1 lfo1;tab-stops:list 36.0pt'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman";color:windowtext'><a href="#basico">Información Básica <span style='mso-fareast-font-family:"-ÿ3ÿ fg";mso-fareast-theme-font:minor-fareast; mso-bidi-font-family:"Times New Roman";mso-bidi-theme-font:minor-bidi'><o:p></o:p></span></a></span></li> </ul> <p class=MsoNormal style='margin-left:36.0pt'><u><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman";color:blue'><a href="#basico"><br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></a></span></u></p> <ul type=disc> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l3 level1 lfo1;tab-stops:list 36.0pt'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><a href="http://www.ingemat.usach.cl/cms/index.php?option=com_wrapper&amp;view=wrapper&amp;Itemid=53">Programa.</a> </span></li> </ul> <p class=MsoNormal style='margin-left:36.0pt'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <ul type=disc> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l3 level1 lfo1;tab-stops:list 36.0pt'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><a href="#biblio">Bibliografía. </a><o:p></o:p></span></li> </ul> <p class=MsoNormal style='margin-left:36.0pt'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <ul type=disc> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l3 level1 lfo1;tab-stops:list 36.0pt'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><a href="#equipo">Equipo docente </a><o:p></o:p></span></li> </ul> <p class=MsoNormal style='margin-left:36.0pt'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <ul type=disc> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l3 level1 lfo1;tab-stops:list 36.0pt'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><a href="#guias">Guías y tareas.</a> <o:p></o:p></span></li> </ul> <p class=MsoNormal style='margin-left:36.0pt'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <ul type=disc> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l3 level1 lfo1;tab-stops:list 36.0pt'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><a href="#notas">Calificaciones </a><o:p></o:p></span></li> </ul> <p class=MsoNormal style='margin-left:36.0pt'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <h2 align=center style='text-align:center'><a name=equipo><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>Información Básica<o:p></o:p></span></a></h2> <p class=MsoNormal><span style='mso-bookmark:equipo'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>La forma de evaluación será vía pruebas. Habrá tres pruebas en el semestre, cada una con igual valor. Posibles fechas para pruebas: <o:p></o:p></span></span></p> <ul type=disc> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l2 level1 lfo2;tab-stops:list 36.0pt'><span style='mso-bookmark: equipo'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'>23 de diciembre del 2011 <o:p></o:p></span></span></li> </ul> <p class=MsoNormal style='margin-left:36.0pt'><span style='mso-bookmark:equipo'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></span></p> <ul type=disc> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l2 level1 lfo2;tab-stops:list 36.0pt'><span style='mso-bookmark: equipo'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'>Enero del 2012<o:p></o:p></span></span></li> </ul> <p class=MsoNormal style='margin-left:36.0pt'><span style='mso-bookmark:equipo'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></span></p> <ul type=disc> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l2 level1 lfo2;tab-stops:list 36.0pt'><span style='mso-bookmark: equipo'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'><span style="mso-spacerun:yes"> </span><o:p></o:p></span></span></li> </ul> <p class=MsoNormal style='margin-left:36.0pt'><span style='mso-bookmark:equipo'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></span></p> <div class=MsoNormal align=center style='text-align:center'><span style='mso-bookmark:equipo'><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'> <hr size=2 width="100%" align=center> </span></span></div> <h2 align=center style='text-align:center'><span style='mso-bookmark:equipo'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>Bibliografía<o:p></o:p></span></span></h2> <p class=MsoNormal><span style='mso-bookmark:equipo'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>Principales textos de referencia: <o:p></o:p></span></span></p> <ul type=disc> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l1 level1 lfo3;tab-stops:list 36.0pt'><span style='mso-bookmark: equipo'><span class=SpellE><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>Conway</span></span></span><span style='mso-bookmark:equipo'><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>, John B. A <span class=SpellE>course</span> in <span class=SpellE>functional</span> <span class=SpellE>analysis</span>. <span class=SpellE>Second</span> <span class=SpellE>edition</span>. <span class=SpellE>Graduate</span> <span class=SpellE>Texts</span> in <span class=SpellE>Mathematics</span>, 96. <span class=SpellE>Springer-Verlag</span>, New York, 1990. <o:p></o:p></span></span></li> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l1 level1 lfo3;tab-stops:list 36.0pt'><span style='mso-bookmark: equipo'><span class=SpellE><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>Brezis</span></span></span><span style='mso-bookmark:equipo'><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>, <span class=SpellE>Haim</span>. <span class=SpellE>Functional</span> <span class=SpellE>analysis</span>, <span class=SpellE>Sobolev</span> <span class=SpellE>spaces</span> and <span class=SpellE>partial</span> <span class=SpellE>differential</span> <span class=SpellE>equations</span>. <span class=SpellE>Universitext</span>. <span class=SpellE>Springer</span>, New York, 2011. <o:p></o:p></span></span></li> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l1 level1 lfo3;tab-stops:list 36.0pt'><span style='mso-bookmark: equipo'><span class=SpellE><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>Rudin</span></span></span><span style='mso-bookmark:equipo'><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>, Walter. <span class=SpellE>Functional</span> <span class=SpellE>analysis</span>. <span class=SpellE>Second</span> <span class=SpellE>edition</span>. International Series in <span class=SpellE>Pure</span> and <span class=SpellE>Applied</span> <span class=SpellE>Mathematics</span>. McGraw-Hill, Inc., New York, 1991. <o:p></o:p></span></span></li> </ul> <div class=MsoNormal align=center style='text-align:center'><span style='mso-bookmark:equipo'><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'> <hr size=2 width="100%" align=center> </span></span></div> <h2 align=center style='text-align:center'><span style='mso-bookmark:equipo'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>Equipo docente</span></span><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></h2> <div align=center> <table class=MsoNormalTable border=1 cellpadding=0 width="50%" style='width:50.0%;mso-cellspacing:1.5pt;border:outset 1.5pt;mso-yfti-tbllook: 1184;mso-padding-alt:5.0pt 5.0pt 5.0pt 5.0pt'> <tr style='mso-yfti-irow:0;mso-yfti-firstrow:yes'> <td style='padding:5.0pt 5.0pt 5.0pt 5.0pt'> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>Cátedra <o:p></o:p></span></p> </td> <td style='padding:5.0pt 5.0pt 5.0pt 5.0pt'> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><a href="http://fermat.usach.cl/~misabel/">María Isabel Cortez</a><o:p></o:p></span></p> </td> </tr> <tr style='mso-yfti-irow:1;mso-yfti-lastrow:yes'> <td style='padding:5.0pt 5.0pt 5.0pt 5.0pt'> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>Ayudante <o:p></o:p></span></p> </td> <td style='padding:5.0pt 5.0pt 5.0pt 5.0pt'></td> </tr> </table> </div> <div class=MsoNormal align=center style='text-align:center'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <h2 align=center style='text-align:center'><a name=guias><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>Guías y tareas.</span></a><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></h2> <h3><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'>Capítulo I: Espacios de <span class=SpellE>Hilbert</span>.<o:p></o:p></span></h3> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>Este capítulo está basado en el libro de J. <span class=SpellE>Conway</span>. <o:p></o:p></span></p> <ul type=disc> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l0 level1 lfo4;tab-stops:list 36.0pt'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><a href="http://fermat.usach.cl/~misabel/Espacios%20de%20Hilbert%201.pdf">Propiedades elementales y ejemplos. </a><o:p></o:p></span></li> </ul> <div class=MsoNormal align=center style='text-align:center'><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <h2 align=center style='text-align:center'><a name=notas><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>Calificaciones.</span></a><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></h2> </div> </body> </html>