These notes are a record of a one semester course on Functional Analysis given by the author to second year Master of Statistics students at the Indian Statistical Institute, New Delhi. Students taking this course have a strong background in real analysis, linear algebra, measure theory and probability, and the course proceeds rapidly from the definition of a normed linear space to the spectral theorem for bounded selfadjoint operators in a Hilbert space. The book is organised as twenty six lectures, each corresponding to a ninety minute class session. This may be helpful to teachers planning a course on this topic. Well prepared students can read it on their own.

Authors and Affiliations

Indian Statistical Institute, Delhi, India

Rajendra Bhatia

Bibliographic Information

Book Title: Notes on Functional Analysis
Authors: Rajendra Bhatia
Series Title: Texts and Readings in Mathematics
DOI: https://doi.org/10.1007/978-93-86279-45-3
Publisher: Hindustan Book Agency Gurgaon
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Hindustan Book Agency (India) 2009
eBook ISBN: 978-93-86279-45-3Published: 15 January 2009
Edition Number: 1
Number of Pages: 248
Topics: Mathematics, general
Industry Sectors: Engineering, IT & Software

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Notes on Functional Analysis

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Table of contents (26 chapters)

Compact Operators

The Spectrum of a Compact Operator

Compact Operators and Invariant Subspaces

Trace Ideals

The Spectral Theorem -I

The Spectral Theorem -II

The Spectral Theorem -III

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Authors and Affiliations

Indian Statistical Institute, Delhi, India

Bibliographic Information

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