02672nam 2200529 450 991067435180332120240116135532.0981-19-7633-310.1007/978-981-19-7633-9(MiAaPQ)EBC7207344(Au-PeEL)EBL7207344(CKB)26186117100041(DE-He213)978-981-19-7633-9(PPN)268207305(EXLCZ)992618611710004120230524d2023 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierFunctional analysis /S. Kesavan2nd ed. 2023.Singapore :Springer,[2023]©20231 online resource (278 pages)Texts and Readings in Mathematics,2366-8725 ;52Print version: Kesavan, S. Functional Analysis Singapore : Springer,c2023 Preliminaries -- Normed Linear Spaces -- Hahn-Banach Theorems -- Baire’s Theorem and Applications -- Weak and Weak* Topologies -- Lᵖ Spaces -- Hilbert Spaces -- Compact Operators.This second edition is thoroughly revised and includes several new examples and exercises. Proofs of many results have been rewritten for a greater clarity. While covering all the standard material expected of such a course, efforts have been made to illustrate the use of the topics to study differential equations and calculus of variations. The book includes a chapter on weak topologies and their applications. It also includes a chapter on the Lebesgue spaces, which discusses Sobolev spaces. The book includes a chapter on compact operators and their spectra, especially for compact self-adjoint operators on a Hilbert space. Each chapter has a large collection of exercises in the end, which give additional examples and counterexamples to the results given in the text. This book is suitable for a first course in functional analysis for graduate students who wish to pursue a career in the applications of mathematics.Texts and Readings in Mathematics,2366-8725 ;52Functional analysisFunctional analysisResearchAnàlisi funcionalthubLlibres electrònicsthubFunctional analysis.Functional analysisResearch.Anàlisi funcional515.7Kesavan S.624784MiAaPQMiAaPQMiAaPQBOOK9910674351803321Functional Analysis3056935UNINA