What is operator theory

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. Schur analysis de Branges spaces indefinite inner product spaces infinite dimensional analysis noncommutative analysis reproducing kernel Hilbert spaces.

Editors and affiliations. Daniel Alpay 1 1. About the editors Editorial Board:. He is the incumbent of the Earl Katz Family chair in algebraic system theory. He has a double formation of electrical engineer Telecom Paris, graduated and mathematician PhD, Weizmann Institute, His research includes operator theory, stochastic analysis, and the theory of linear systems. Daniel Alpay is one of the initiators and responsible of the dual track electrical-engineering mathematics at Ben-Gurion University.

Together with co-authors, he has written two books and close to research papers, and edited ten books of research papers. Buy options. What is the difference between operator theory and functional analysis?

Ask Question. Asked 5 years, 5 months ago. Active 5 years, 5 months ago. Viewed 2k times. What is the distinction between the two fields? Such vector spaces are a key object of study in functional analysis generally, but you can also study nonlinear functions or "functionals" on them, rather than linear transformations; an example is the calculus of variations.

Dual space is the space of functionals acting on the original space of functions in a beautiful linear way. Add a comment. Active Oldest Votes. Siminore Siminore Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown. Upcoming Events. Featured on Meta. Now live: A fully responsive profile. The unofficial elections nomination post. Related 7. Hot Network Questions.