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Operator Theory

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概要 A one-sentence definition of operator theory could be: The study of (linear) continuous operations between topological vector spaces, these being in general (but not exclusively) Fréchet, Banach, or H...ilbert spaces (or their duals). Operator theory is thus a very wide field, with numerous facets, both applied and theoretical. There are deep connections with complex analysis, functional analysis, mathematical physics, and electrical engineering, to name a few. Fascinating new applications and directions regularly appear, such as operator spaces, free probability, and applications to Clifford analysis. In our choice of the sections, we tried to reflect this diversity. This is a dynamic ongoing project, and more sections are planned, to complete the picture. We hope you enjoy the reading, and profit from this endeavor.続きを見る
目次 General aspects of quaternionic and Clifford analysis
Further developments of quaternionic and Clifford analysis
Infinite dimensional analysis
Non-commutative theory
Multivariable operator theory
Reproducing kernel Hilbert spaces
de Branges spaces
Indefinite inner product spaces
Schur analysis
Linear system theory.
本文を見る Full text available from Springer Mathematics and Statistics eBooks 2020 English/International

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登録日 2020.06.27
更新日 2020.06.28