| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910483405203321 |
|
|
Titolo |
Operator Theory [[electronic resource] /] / edited by Daniel Alpay |
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Basel : , : Springer Basel : , : Imprint : Springer, , 2020 |
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (Approx. 2000 p.) |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Operator theory |
Global analysis (Mathematics) |
Manifolds (Mathematics) |
Functional analysis |
System theory |
Operator Theory |
Global Analysis and Analysis on Manifolds |
Functional Analysis |
Systems Theory, Control |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Nota di contenuto |
|
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. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
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. |
|
|
|
|
|
| |