Notes on Functional Analysis

Notes on Functional Analysis
Author :
Publisher : Springer
Total Pages : 248
Release :
ISBN-10 : 9789386279453
ISBN-13 : 9386279452
Rating : 4/5 (53 Downloads)

Book Synopsis Notes on Functional Analysis by : Rajendra Bhatia

Download or read book Notes on Functional Analysis written by Rajendra Bhatia and published by Springer. This book was released on 2009-01-15 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semig