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In mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators. The operators may be presented abstractly by their characteristics, such as bounded linear operators or closed operators , and consideration may be given to nonlinear operators .
Arveson, William (1984), Ten Lectures On Operator Algebras, CBMS Regional Conference Series in Mathematics, New York: American Mathematical Society, ISBN 0821807056 Arveson, William (2002), A Short Course on Spectral Theory , Graduate Texts in Mathematics, New York: Springer-Verlag, ISBN 0387953000
Jim Agler is a mathematician who is an emeritus professor at the University of California, San Diego.He is a fellow of the American Mathematical Society since 2016, for "contributions to operator theory and the theory of analytic functions of several complex variables".
An Invitation to Operator Theory. American Mathematical Society. ISBN 978-0-8218-2146-6. Beauzamy, Bernard (1988). Introduction to Operator Theory and Invariant Subspaces. North Holland. Enflo, Per; Lomonosov, Victor (2001). "Some aspects of the invariant subspace problem". Handbook of the geometry of Banach spaces. Vol. I.
The Kaplansky density theorem can be used to formulate some approximations with respect to the strong operator topology. 1) If h is a positive operator in (A −) 1, then h is in the strong-operator closure of the set of self-adjoint operators in (A +) 1, where A + denotes the set of positive operators in A.
In complex analysis, functional analysis and operator theory, a Bergman space, named after Stefan Bergman, is a function space of holomorphic functions in a domain D of the complex plane that are sufficiently well-behaved at the boundary that they are absolutely integrable.
Paul Muhly (born September 7, 1944) [1] is an American mathematician. In 2015 he was elected as a Fellow of the American Mathematical Society for his contributions to operator theory as well as mentoring and service to the community. [2] He has supervised over 20 Ph.D. students. [3]
The International Workshop on Operator Theory and its Applications was started on August 1, 1981, [1] adjacent to the International Symposium on Mathematical Theory of Networks and Systems (MTNS) [5] with goal of exposing operator theorists, even pure theorists, to recent developments in engineering (especially H-infinity methods in control theory) which had a significant intersection with ...