Bounded operator
Bounded operator In functional analysis (a branch of mathematics), a bounded linear operator is a linear transformation L between ...
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Talk:Bounded operator
Talk:Bounded operator Does the Laplacian map onto L^2 ... 04, 2 Mar 2005 (UTC) Defined versus bounded I think you are making a mistake here. An operator which is defined on its domain is not necessarily bounded on that domain. It is essential ...
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Continuous linear operator
Continuous linear operator In functional analysis and related areas of mathematics, a continuous linear operator or continuous linear mapping is a continuous linear transformation ...
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Operator   (translated from Japanese)
Operator mathematics Operator(Lie,Operator) With,Functional spaceOn conversion , namelyFunctionIt moves to ... function mapping . Mainly, functional analysis Hilbert space Linear transformationTo point to thing, same ones physics ... addition, number (constant function) as for the operator which takes value in gatheringFunctional(It ...
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Operator topology
Operator topology In mathematics, the requirements of functional ... given to the algebra L(H) of bounded linear operators on a Hilbert space H. Introduction ... Let {T n } be a sequence of linear operators on the Hilbert space H. Consider ... statement that T n converges to some operator T in H.This could have ...
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Operator norm
Operator norm In mathematics, the operator norm is a means to measure the "size" of certain linear operators. Formally, it is a norm defined on the space of bounded linear operators between two given normed vector ...
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Closed operator
Closed operator In mathematics, specifically in functional analysis, closed linear operators are an important class of linear operators on Banach spaces. They are more general than bounded operators, and therefore not necessarily continuous, but ... functional calculus for such operators. Many important linear operators which fail to be bounded ...
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Self-adjoint operator
Self-adjoint operator On a finite-dimensional inner product space, a self-adjoint operator is one that is its own adjoint ... have an orthonormal basis in which the operator can be represented as a diagonal matrix ... differential operators. Symmetric operators A partially defined linear operator A on a Hilbert space H ...
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Linear mapping   (translated from Russian)
Linear mapping Line?ynym otobrazhe?niyem (by line ... frequently they examine orthogonal and unitary operators - linear operators, for whom the space of &.lt ... lt;/.matyu&.gt; (the complex numbers) respectively. Linear functional - the linear operator, for whom &.lt;.matyu&.gt of;\,\! ...
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Compact operator
Compact operator In functional analysis, a compact operator (or completely continuous operator) is a linear operator L from a Banach space X ...
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