书目名称 | Integrals and Operators | 编辑 | Irving E. Segal,Ray A. Kunze | 视频video | | 丛书名称 | Grundlehren der mathematischen Wissenschaften | 图书封面 |  | 描述 | TO THE SECOND EDITION Since publication of the First Edition several excellent treatments of advanced topics in analysis have appeared. However, the concentration and penetration of these treatises naturally require much in the way of technical preliminaries and new terminology and notation. There consequently remains a need for an introduction to some of these topics which would mesh with the material of the First Edition. Such an introduction could serve to exemplify the material further, while using it to shorten and simplify its presentation. It seemed particularly important as well as practical to treat briefly but cogently some of the central parts of operator algebra and higher operator theory, as these are presently represented in book form only with a degree of specialization rather beyond the immediate needs or interests of many readers. Semigroup and perturbation theory provide connections with the theory of partial differential equations. C*-algebras are important in har monic analysis and the mathematical foundations of quantum mechanics. W*-algebras (or von Neumann rings) provide an approach to the theory of multiplicity of the spectrum and some simple but key elemen | 出版日期 | Book 1978Latest edition | 关键词 | C*-algebra; Hilbert space; Integrals; convergence; differential equation; functional analysis; harmonic an | 版次 | 2 | doi | https://doi.org/10.1007/978-3-642-66693-3 | isbn_softcover | 978-3-642-66695-7 | isbn_ebook | 978-3-642-66693-3Series ISSN 0072-7830 Series E-ISSN 2196-9701 | issn_series | 0072-7830 | copyright | Springer-Verlag Berlin Heidelberg 1978 |
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