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

In operator theory, a dilation of an operator T on a Hilbert space H is an operator on a larger Hilbert space K, whose restriction to H composed with the...

In operator theory, a bounded operator T: X → Y between normed vector spaces X and Y is said to be a contraction if its operator norm ||T || ≤ 1. This...

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

In quantum mechanics, the Hamiltonian of a system is an operator corresponding to the total energy of that system, including both kinetic energy and potential...

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

In mathematics, a self-adjoint operator on an infinite-dimensional complex vector space V with inner product ⟨ ⋅ , ⋅ ⟩ {\displaystyle \langle \cdot ,\cdot...

classical mechanics. Operators are even more important in quantum mechanics, where they form an intrinsic part of the formulation of the theory. In classical...

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

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...

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...

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

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

mathematics, operator K-theory is a noncommutative analogue of topological K-theory for Banach algebras with most applications used for C*-algebras. Operator K-theory...

Look up operator in Wiktionary, the free dictionary. Operator may refer to: A symbol indicating a mathematical operation Logical operator or logical connective...

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

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...

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

mathematics (specifically linear algebra, operator theory, and functional analysis) as well as physics, a linear operator A{\displaystyle A} acting on an inner...

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...

of DNA called an operator. All the structural genes of an operon are turned ON or OFF together, due to a single promoter and operator upstream to them...

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...

differential operator in an appropriate Hilbert space of functions with inner product defined using the weight function. Sturm–Liouville theory studies the...

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...

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

\mathbb {R} .} The operator will be bounded if and only if the coefficients are bounded. There are close connections with the theory of orthogonal polynomials...

In operator theory, a Toeplitz operator is the compression of a multiplication operator on the circle to the Hardy space. Let S 1 {\displaystyle S^{1}}...

h(x)=1/x-\lfloor 1/x\rfloor } is called the Gauss–Kuzmin–Wirsing (GKW) operator. The theory of the GKW dates back to a hypothesis by Gauss on continued fractions...