Operator norm
Operator norm In mathematics, the operator norm is a means to measure the "size ... certain linear operators. Formally, it is a norm defined on the space of bounded ...
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Talk:Operator norm
Talk:Operator norm Some rewriting needed? I wonder if this ... article starts with a very technical "all operator norm definitions money can buy", which is certainly ... linear transformation" to introduce the notion of norm. Some care is needed here, as ...
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Operator topology
Operator topology In mathematics, the requirements of functional ... statement that T n converges to some operator T in H.This could have several ... T_n \to T in the uniform operator topology. If $T\_n\; x\; \backslash to\; Tx\; ...\; T\_n\; \backslash to\; T$ in the strong operator topology. Finally, suppose $T\_n\; x\; \backslash to\; ...\; T\_n\; \backslash to\; T$ in the weak operator topology. All of these notions make ...
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Bounded operator
Bounded operator In functional analysis (a branch of mathematics), a bounded linear operator is a linear transformation L between normed ... Y for which the ratio of the norm of L(v) to that of v ... The smallest such M is called the operator norm $\backslash |L\backslash |\_\{op\}$ of ...
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Nuclear operator
Nuclear operator In mathematics, a nuclear operator is roughly a compact operator for which a trace may be defined ... most authors reserve the term "trace class operator" for the special case of nuclear operators ... the article on trace class operators. Compact operator An operator $\backslash mathcal\{L\}$ ...
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Matrix norm
Matrix norm In mathematics, the term matrix norm can have two meanings: A vector norm on matrices, i.e, a norm on the vector space of all real ... by-n matrices. A sub-multiplicative vector norm is any vector norm on square ...
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Unitary operator   (translated from Japanese)
Unitary operator mathematics , especiallyFunctional analysisInUnitary operator(Unitary lie,Unitary operator) With, complex Hilbert space linear operator , bijection and weighing (metric, length and angle, inner product and norm ) It points to those which are ...
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Multiplication operator
Multiplication operator In operator theory, a multiplication operator is a linear operator T defined on some vector space of ... operators. Multiplication operators generalize the notion of operator given by a diagonal matrix. Example ...
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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 to ... relatively compact subset of Y. Such an operator is necessarily a bounded operator, and ...
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Shift operator
Shift operator In mathematics, and in particular functional analysis ... varieties. (There is another usage of shift operator as a translation operator: see for example Sheffer sequence.) A typical one-sided shift operator takes an infinite sequence of numbers (a ... spaces used in functional analysis, usually with norm 1. Another way to look at ...
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