Operator theory information

mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators. The operators may...

generalization of spectral theory of a single operator. In general operator algebras are non-commutative rings. An operator algebra is typically required...

In functional analysis and operator theory, a bounded linear operator is a linear transformation L : X → Y {\displaystyle L:X\to Y} between topological...

their generalizations. The theory is connected to that of analytic functions because the spectral properties of an operator are related to analytic functions...

of the theory of compact operators is in the theory of integral equations, where integral operators supply concrete examples of such operators. A typical...

mathematics, the operator norm measures the "size" of certain linear operators by assigning each a real number called its operator norm. Formally, it...

In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first...

continuous linear operator or continuous linear mapping is a continuous linear transformation between topological vector spaces. An operator between two normed...

specifically in operator theory, each linear operator A {\displaystyle A} on an inner product space defines a Hermitian adjoint (or adjoint) operator A ∗ {\displaystyle...

In operator theory, a multiplication operator is an operator Tf defined on some vector space of functions and whose value at a function φ is given by...

In mathematics, Fredholm operators are certain operators that arise in the Fredholm theory of integral equations. They are named in honour of Erik Ivar...

Integral Equations and Operator Theory is a journal dedicated to operator theory and its applications to engineering and other mathematical sciences....

left-adjoint of the transfer operator of Frobenius–Perron. Using the language of category theory, the composition operator is a pull-back on the space...

entries. In operator theory, particularly the study of PDEs, operators are particularly easy to understand and PDEs easy to solve if the operator is diagonal...

particular functional analysis, the shift operator, also known as the translation operator, is an operator that takes a function x ↦ f(x) to its translation...

compact operators. The reader will see that most statements transfer verbatim from the matrix case. The spectral theory of compact operators was first...

and annihilation operators can act on states of various types of particles. For example, in quantum chemistry and many-body theory the creation and annihilation...

especially functional analysis, a normal operator on a complex Hilbert space H is a continuous linear operator N : H → H that commutes with its Hermitian...

reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum...

Hessenberg matrices for the Bergman shift operator on Jordan regions". Complex Analysis and Operator Theory. 8 (1): 1–24. arXiv:1205.4183. doi:10.1007/s11785-012-0252-8...

functional analysis and operator theory, the notion of unbounded operator provides an abstract framework for dealing with differential operators, unbounded observables...

Advances in Operator Theory is a peer-reviewed scientific journal established in 2016 by Mohammad Sal Moslehian and published by Birkhäuser on behalf...

finite}}\right\}.} In the theory of partially ordered sets, which are important in theoretical computer science, closure operators have a more general definition...