Bounded operator
Bounded operator In functional analysis (a branch of mathematics), a bounded linear operator is a linear transformation L between normed ... L(v) to that of v is bounded by the same number, over all ...
http://en.wikipedia.org/wiki/Bounded_operator - 8k - Cached - Similar pages

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 ...
http://en.wikipedia.org/wiki/Talk:Bounded_operator - 22k - Cached - Similar pages

Operator   (translated from Japanese)
Operator mathematics Operator(Lie,Operator) With,Functional spaceOn conversion , namelyFunctionIt moves to ... addition, number (constant function) as for the operator which takes value in gatheringFunctional(It is ... dx< /math> And so on it is operator. In addition, whole real number R ...
http://ja.wikipedia.org/wiki/作用素 - 5k - Cached (Japanese) - Wikipedia (Japanese) - Similar pages

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 ... that the image under L of any bounded subset of X is a relatively ...
http://en.wikipedia.org/wiki/Compact_operator - 8k - Cached - Similar pages

Operator norm
Operator norm In mathematics, the operator norm is a means to measure the ... a norm defined on the space of bounded linear operators between two given normed vector ... the one in V.) Intuitively, the continuous operator A never "lengthens" any vector more than ... continuous linear operators are also known as bounded operators. In order to "measure the ...
http://en.wikipedia.org/wiki/Operator_norm - 7k - Cached - Similar pages

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 ... 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 $T\_n\; x\; \backslash \; ...$
http://en.wikipedia.org/wiki/Operator_topology - 13k - Cached - Similar pages

Closed operator
Closed operator In mathematics, specifically in functional analysis, closed ... Banach spaces. They are more general than bounded operators, and therefore not necessarily continuous, but ... important linear operators which fail to be bounded turn out to be closed, such as ... math> denote a Banach space. A linear operator $A\backslash colon\backslash mathcal\{D\}(A)\backslash subset\; ...\; B\backslash oplus\; B.$ Given a linear operator $A$, not necessarily closed, ...
http://en.wikipedia.org/wiki/Closed_operator - 6k - Cached - Similar pages

Volterra operator
Volterra operator In the branch of mathematics known as functional analysis, the Volterra operator represents the operation of indefinite integration, viewed as a bounded linear operator on the space L 2 (0,1 ... the interval (0,1). Definition The Volterra operator V may be defined at a ...
http://en.wikipedia.org/wiki/Volterra_operator - 1k - Cached - Similar pages

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 $\backslash mathcal\{L\}$ ...
http://en.wikipedia.org/wiki/Nuclear_operator - 7k - Cached - Similar pages

Operator theory
Operator theory In mathematics, operator theory is the branch of functional analysis which deals with bounded linear operators and their properties. It can ... them. These extend the spectral theory for bounded operators. Single operator theory Single operator theory deals with ...
http://en.wikipedia.org/wiki/Operator_theory - 1k - Cached - Similar pages