Functional Analysis Second Edition /

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 differe...

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Bibliografiset tiedot
Päätekijä: Kesavan, S. (Tekijä)
Yhteisötekijä: SpringerLink (Online service)
Aineistotyyppi: Elektroninen E-kirja
Kieli:englanti
Julkaistu: Singapore : Springer Nature Singapore : Imprint: Springer, 2023.
Painos:2nd ed. 2023.
Sarja:Texts and Readings in Mathematics, 52
Aiheet:
Linkit:https://doi.org/10.1007/978-981-19-7633-9
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Yhteenveto: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.
Ulkoasu:1 online resource (X, 290 p.).
ISBN:9789811976339
ISSN:2366-8725 ;
DOI:10.1007/978-981-19-7633-9