Operator Theory

Daniel Alpay

Research output: Book/ReportBookpeer-review

12 Scopus citations

Abstract

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.
Original languageEnglish
Place of PublicationBasel
PublisherSpringer Basel
Number of pages1860
Volume1-2
Edition1st ed. 2015
ISBN (Electronic)3034806671, 9783034806671
ISBN (Print)9783034806664
DOIs
StatePublished - 4 Aug 2015

ASJC Scopus subject areas

  • Mathematics (all)

Fingerprint

Dive into the research topics of 'Operator Theory'. Together they form a unique fingerprint.

Cite this