#LyX 2.3 created this file. For more info see http://www.lyx.org/ \lyxformat 544 \begin_document \begin_header \save_transient_properties true \origin unavailable \textclass book \begin_preamble \input{../defs} \usepackage{commath} \end_preamble \use_default_options true \begin_modules algorithm2e \end_modules \maintain_unincluded_children false \language spanish \language_package default \inputencoding auto \fontencoding global \font_roman "default" "default" \font_sans "default" "default" \font_typewriter "default" "default" \font_math "auto" "auto" \font_default_family default \use_non_tex_fonts false \font_sc false \font_osf false \font_sf_scale 100 100 \font_tt_scale 100 100 \use_microtype false \use_dash_ligatures true \graphics default \default_output_format default \output_sync 0 \bibtex_command default \index_command default \paperfontsize 10 \spacing single \use_hyperref false \papersize a5paper \use_geometry true \use_package amsmath 1 \use_package amssymb 1 \use_package cancel 1 \use_package esint 1 \use_package mathdots 1 \use_package mathtools 1 \use_package mhchem 1 \use_package stackrel 1 \use_package stmaryrd 1 \use_package undertilde 1 \cite_engine basic \cite_engine_type default \biblio_style plain \use_bibtopic false \use_indices false \paperorientation portrait \suppress_date false \justification true \use_refstyle 1 \use_minted 0 \index Index \shortcut idx \color #008000 \end_index \leftmargin 0.2cm \topmargin 0.7cm \rightmargin 0.2cm \bottommargin 0.7cm \secnumdepth 3 \tocdepth 3 \paragraph_separation indent \paragraph_indentation default \is_math_indent 0 \math_numbering_side default \quotes_style swiss \dynamic_quotes 0 \papercolumns 1 \papersides 1 \paperpagestyle empty \listings_params "basicstyle={\ttfamily}" \tracking_changes false \output_changes false \html_math_output 0 \html_css_as_file 0 \html_be_strict false \end_header \begin_body \begin_layout Title Análisis Funcional \end_layout \begin_layout Date \begin_inset Note Note status open \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset ERT status open \begin_layout Plain Layout \backslash def \backslash cryear{2023} \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset CommandInset include LatexCommand input filename "../license.lyx" \end_inset \end_layout \begin_layout Standard Bibliografía: \end_layout \begin_layout Itemize Bernardo Cascales, José Manuel Mira, José Orihuela, Matías Raja. \emph on Análisis Funcional \emph default (1 \begin_inset Formula $^{\text{a}}$ \end_inset ed., 2010). \end_layout \begin_layout Itemize Pablo Miralles González, Purificación Hernández López, Mariano Garre Martínez. \emph on Análisis Funcional—Notas de clase \emph default (2023). \end_layout \begin_layout Itemize \lang english Todd Kemp. \emph on Cauchy's construction of \begin_inset Formula $\mathbb{R}$ \end_inset \emph default (2016), pp. 9–10. \lang spanish Recuperado de \begin_inset Flex URL status open \begin_layout Plain Layout https://mathweb.ucsd.edu/~tkemp/140A/Construction.of.R.pdf \end_layout \end_inset . \end_layout \begin_layout Itemize \lang english Wikipedia, the Free Encyclopedia. \emph on Locally integrable function \emph default . \lang spanish Recuperado de \begin_inset Flex URL status open \begin_layout Plain Layout https://en.wikipedia.org/wiki/Locally_integrable_function \end_layout \end_inset el 18 de diciembre de 2022. \end_layout \begin_layout Itemize \lang english Wikipedia, the Free Encyclopedia. \emph on Relatively compact subspace \emph default . \lang spanish Recuperado de \begin_inset Flex URL status open \begin_layout Plain Layout https://en.wikipedia.org/wiki/Relatively_compact_subspace \end_layout \end_inset el 11 de enero de 2023. \end_layout \begin_layout Itemize \lang english Richard Haberman. \emph on Applied Partial Differential Equations with Fourier Series and Boundary Value Problems \emph default , 5th. ed. (2014). Pearson Education, p. 165. \end_layout \begin_layout Chapter Espacios de Hilbert \end_layout \begin_layout Standard \begin_inset CommandInset include LatexCommand input filename "n1.lyx" \end_inset \end_layout \begin_layout Chapter Teoría espectral \end_layout \begin_layout Standard \begin_inset CommandInset include LatexCommand input filename "n2.lyx" \end_inset \end_layout \end_body \end_document