Operator Theory
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 Hilbert 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 dir…
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- Full title :Operator Theory / edited by Daniel Alpay.
Summary
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 Hilbert 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.
Read More ↓Edition Statements
- Publication Date:2015.
Publication Statements
- Publisher(s):Imprint, Springer, Springer Basel
- Place of Publication:Basel
- Language:eng
- Publication Date:2015.
The Physical Object
- Description:1 online resource (51 illustrations, 18 illustrations in color. eReference.) : : online resource
Edition Identifiers
- ISBN:9783034806671, 3034806671
- DOI:10.1007/978-3-0348-0667-1
- oclc:ocn943560534
- LC Classification:QA329-329.9
- Dewey Decimal:515.724
Table of Contents
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.
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Operator Theory -- (.pdf)
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