Real and Functional Analysis: Part B Functional Analysis (Mathematical Concepts and Methods in Science and Engineering, 28, Band 28) - Hardcover

Inhaltsangabe

This book introduces two most important aspects of modern ysis: the theory of measure and integration and the theory of Banach and Hilbert spaces. It is designed to serve as a text for first-year graduate students who are already familiar with some ysis as given in a book similar to Apostol's Mathematical ysis. t This book treats in sufficient detail most relevant topics in the area of real and functional ysis that can be included in a book of this nature and size and at the level indicated above. It can serve as a text for a solid one-year course entitled "Measure and Integration Theory" or a com prehensive one-year course entitled "Banach Spaces, Hilbert Spaces, and Spectral Theory. " For the latter alternative, the student is, of course, required to have some knowledge of measure and integration theory. The breadth of the book gives the instructor enough flexibility to choose what is best suited for his/her class.

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