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Lectures and Exercises on Functional Analysis
About this Title
A. Ya. Helemskii. Translated by S. Akbarov
Publication: Translations of Mathematical Monographs
Publication Year:
2006; Volume 233
ISBNs: 978-0-8218-4098-6 (print); 978-1-4704-4655-0 (online)
DOI: https://doi.org/10.1090/mmono/233
MathSciNet review: MR2248303
MSC: Primary 46-01; Secondary 46M15, 47-01
ReadershipTable of Contents
Front/Back Matter
Chapters
- Foundations: Categories and the like
- Normed spaces and bounded operators (“Waiting for completeness”)
- Banach spaces and their advantages
- From compact spaces to Fredholm operators
- Polynormed spaces, weak topologies, and generalized functions
- At the gates of spectral theory
- Hilbert adjoint operators and the spectral theorem
- Fourier transform