Textbook of Functional Analysis: A Problem-Oriented Approach

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9788120348912: Textbook of Functional Analysis: A Problem-Oriented Approach

This unique, comprehensive and student-friendly book, now in its second edition, continues to hold the purpose of explaining and illustrating the use of the basic theorems in functional analysis through solved numerical problems. The text has been revised on the basis of the readers' feedback. The book now covers ample worked-out numerical problems related to the spectral properties of compact operators on banach spaces as well as on hilbert spaces. Inclusion of a few problems based on the square root of a positive operator also contributes to the major highlights of this edition. Such a practical approach will greatly facilitate students to have a thorough grasp of the subject. This stands in stark contrast to the method followed in most of the books where a great amount of theory is given with a smattering of problems to elucidate the topics discussed. Intended as a text for the students pursuing postgraduate courses in mathematics, this book with its systematic and precise presentation and provision of a large number of exercises should prove to be a trendsetter in its approach to the subject. This novelty of approach appeals the students in particular. Table of contents:prefacenotationnormed linear spacesbanach spacesdualitybounded linear mapshilbert spacesoperators on hilbert spacesspectral theory in hilbert spacesreferencesindex

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