TY - BOOK AU - Bressan,Alberto TI - Lecture notes on functional analysis: with applications to linear partial differential equations T2 - Graduate studies in mathematics SN - 9780821887714 (alk. paper) U1 - 515.7 23 PY - 2013/// CY - Providence : PB - American Mathematical Society, KW - Functional analysis KW - Linear differential equations N1 - Includes bibliographical references (pages 245-246) and index; 1. Introduction-- 2. Banach spaces-- 3. Spaces of continuous functions-- 4. Bounded linear operators-- 5. Hilbert spaces-- 6. Compact operators on a Hilbert space-- 7. Semigroups of linear operators-- 8. Sobolev spaces-- 9. Linear partial differential equations-- Appendix: Background material-- Summary of notation-- Bibliography-- Index N2 - This book is addressed to graduate students in mathematics or other disciplines who wish to understand the essential concepts of functional analysis and their applications to partial differential equations. The book is intentionally concise, presenting all the fundamental concepts and results but omitting the more specialized topics ER -