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Titlebook: Operator Theory; Daniel Alpay,Irene Sabadini,Fabrizio Colombo Living reference work 20250th edition Multivariable operator theory.Superos

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发表于 2025-3-21 18:16:13 | 显示全部楼层 |阅读模式
书目名称Operator Theory
编辑Daniel Alpay,Irene Sabadini,Fabrizio Colombo
视频video
概述Embraces the history, diversity and wide range of topics relating to operator theory through interconnected sections.Describes multiple applications and connections with other fields of mathematics, p
图书封面Titlebook: Operator Theory;  Daniel Alpay,Irene Sabadini,Fabrizio Colombo Living reference work 20250th edition  Multivariable operator theory.Superos
描述.Operator theory is a very wide field, with numerous facets, both applied and theoretical. In this book we focus on the study of (linear) continuous operations between topological vector spaces, these being in general (but not exclusively) Fréchet, Banach, or Hilbert spaces (or their duals). There are deep connections with complex analysis, functional analysis, mathematical physics, electrical engineering, machine learning and physics to name a few. Fascinating new directions and connections regularly appear, such as operator spaces, free probability, and applications to hypercomplex analysis. In our choice of the sections, we tried to reflect this diversity. This is a dynamic ongoing project, and we hope you enjoy the reading, and profit from this endeavor..
出版日期Living reference work 20250th edition
关键词Multivariable operator theory; Superoscillations; Quaternionic and Clifford operator theory; Function s
doihttps://doi.org/10.1007/978-3-0348-0692-3
isbn_ebook978-3-0348-0692-3
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发表于 2025-3-21 22:50:58 | 显示全部楼层
Commutative Dilation Theory,Hilbert space contraction has the uniquely determined minimal unitary dilation. In many situations this enables to study instead of a general contraction its unitary dilation, which has much nicer properties. The present paper gives a survey of dilation theory for commuting tuples of Hilbert space operators. The paper is organized as follows:
发表于 2025-3-22 00:45:59 | 显示全部楼层
Fueter Mapping Theorem in Hypercomplex Analysis,r since the theorem was proved in 1935, it underwent several main generalizations. Those are not only based on its own interest, but also motivated by applications found in other areas of mathematics, such as functional calculus of operators. This article serves as a survey on Fueter’s Theorem, its generalizations and applications.
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https://doi.org/10.1007/978-3-0348-0692-3Multivariable operator theory; Superoscillations; Quaternionic and Clifford operator theory; Function s
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Applications of Hilbert Module Approach to Multivariable Operator Theory,. and .. A companion survey provides an introduction to the theory of Hilbert modules and some (Hilbert) module point of view to multivariable operator theory. The purpose of this survey is to emphasize algebraic and geometric aspects of Hilbert module approach to operator theory and to survey sever
发表于 2025-3-23 09:16:38 | 显示全部楼层
Arithmetic Functions in Harmonic Analysis and Operator Theory,. to the complex numbers .. The cases are from . (for example, Dirichlet .-functions, etc.), from the., and from . (e.g., generating functions). Algebras of arithmetic functions and their representations are considered. In particular, direct decompositions and tensor-factorizations of arithmetic fun
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