| 书目名称 | Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras | | 编辑 | Vladimir Müller | | 视频video | | | 概述 | Unique collection of material in spectral theory that was only available in research papers before.Theory is presented in a unified, axiomatic and elementary way.Only a basic knowledge of functional a | | 丛书名称 | Operator Theory: Advances and Applications | | 图书封面 |  | | 描述 | Spectral theory is an important part of functional analysis.It has numerous appli cations in many parts of mathematics and physics including matrix theory, func tion theory, complex analysis, differential and integral equations, control theory and quantum physics. In recent years, spectral theory has witnessed an explosive development. There are many types of spectra, both for one or several commuting operators, with important applications, for example the approximate point spectrum, Taylor spectrum, local spectrum, essential spectrum, etc. The present monograph is an attempt to organize the available material most of which exists only in the form of research papers scattered throughout the literature. The aim is to present a survey of results concerning various types of spectra in a unified, axiomatic way. The central unifying notion is that of a regularity, which in a Banach algebra is a subset of elements that are considered to be "nice". A regularity R in a Banach algebra A defines the corresponding spectrum aR(a) = {A E C : a - , rJ. R} in the same way as the ordinary spectrum is defined by means of invertible elements, a(a) = {A E C : a - , rJ. Inv(A)}. Axioms of a regulari | | 出版日期 | Book 20031st edition | | 关键词 | Excel; Tuple; banach spaces; form; function; functional analysis; information; knowledge; operator theory; or | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-7788-6 | | isbn_ebook | 978-3-0348-7788-6Series ISSN 0255-0156 Series E-ISSN 2296-4878 | | issn_series | 0255-0156 | | copyright | Springer Basel AG 2003 |
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发表于 2025-3-21 17:50:36
