Synopsis
Providing an introduction to the main areas of modern analysis, this text starts with general topology and moves on to normed and semi-normed linear spaces. From there, it gives an introduction to the general theory of operators on Hilbert space, followed by a detailed exposition of the various possible forms of the spectral theorem: from Gelfand theory, via spectral measures, to maximal commutative von Neumann algebras. The work concludes with two supplementary chapters: an account of unbounded operators and their spectral theory, and a complete course in measure and integration theory (from an advanced perspective).
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Review
G.K. Pedersen
Analysis Now
"The writing is clear and precise, but has an informal and humorous touch which enlivens the material. One of the strengths of the book is the excellent set of problems, which accompany the text."―MATHEMATICAL REVIEWS
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Search results for Analysis Now: Vol 118 (Graduate Texts in Mathematics)
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Analysis Now: Vol 118 (Graduate Texts in Mathematics)
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Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1989
ISBN 10: 3540967885
ISBN 13: 9783540967880
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Analysis Now
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