well-bounded operator

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• Bounded operator — In functional analysis, a branch of mathematics, a bounded linear operator is a linear transformation L between normed vector spaces X and Y for which the ratio of the norm of L(v) to that of v is bounded by the same number, over all non zero… …   Wikipedia

• Normal operator — In mathematics, especially functional analysis, a normal operator on a complex Hilbert space H (or equivalently in a C* algebra) is a continuous linear operator that commutes with its hermitian adjoint N*: Normal operators are important because… …   Wikipedia

• Quasinormal operator — In operator theory, quasinormal operators is a class of bounded operators defined by weakening the requirements of a normal operator. Definition and some properties Definition Let A be a bounded operator on a Hilbert space H , then A is said to… …   Wikipedia

• Fourier integral operator — The concept of Fourier integral operators stems from mathematical analysis. They have become an important tool in the theory of partial differential equations. The class of Fourier integral Operators contains differential operators as well as… …   Wikipedia

• Self-adjoint operator — In mathematics, on a finite dimensional inner product space, a self adjoint operator is one that is its own adjoint, or, equivalently, one whose matrix is Hermitian, where a Hermitian matrix is one which is equal to its own conjugate transpose.… …   Wikipedia

• Discrete Laplace operator — For the discrete equivalent of the Laplace transform, see Z transform. In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete grid. For the case of a… …   Wikipedia

• Laplace operator — This article is about the mathematical operator. For the Laplace probability distribution, see Laplace distribution. For graph theoretical notion, see Laplacian matrix. Del Squared redirects here. For other uses, see Del Squared (disambiguation) …   Wikipedia

• Nuclear operator — In mathematics, a nuclear operator is roughly a compact operator for which a trace may be defined, such that the trace is finite and independent of the choice of basis (at least on well behaved spaces; there are some spaces on which nuclear… …   Wikipedia

• Relational operator — In computer science, a relational operator is a programming language construct or operator that tests or defines some kind of relation between two entities. These include numerical equality (e.g., 5 = 5) and inequalities (e.g.,… …   Wikipedia

• Pseudo-differential operator — In mathematical analysis a pseudo differential operator is an extension of the concept of differential operator. Pseudo differential operators are used extensively in the theory of partial differential equations and quantum field theory.… …   Wikipedia

• Trace operator — In mathematics, the concept of trace operator plays an important role in studying the existence and uniqueness of solutions to boundary value problems, that is, to partial differential equations with prescribed boundary conditions. The trace… …   Wikipedia