In mathematics, a Hilbert–Schmidt operator, named after David Hilbert and Erhard Schmidt, is a bounded operator A : H → H {\displaystyle A\colon H\to...

In mathematics, a Hilbert–Schmidt integral operator is a type of integral transform. Specifically, given a domain Ω in n-dimensional Euclidean space Rn...

In mathematics, Hilbert–Schmidt may refer to a Hilbert–Schmidt operator; a Hilbert–Schmidt integral operator; the Hilbert–Schmidt theorem. This disambiguation...

Hilbert operator may refer to: The epsilon operator in Hilbert's epsilon calculus The Hilbert–Schmidt operators on a Hilbert space Hilbert–Schmidt integral...

point of view in the first decade of the 20th century by David Hilbert, Erhard Schmidt, and Frigyes Riesz. They are indispensable tools in the theories...

integral operator. T is equal to the composition of two Hilbert-Schmidt operators. | T | {\textstyle {\sqrt {|T|}}} is a Hilbert-Schmidt operator. Let T...

operator on Hilbert space is an extension of the concept of a matrix acting on a finite-dimensional vector space; in Hilbert space, compact operators...

It states that a bounded linear operator between two Hilbert spaces is γ-radonifying if it is a Hilbert–Schmidt operator. The result is also important in...

is a Hilbert–Schmidt operator, hence in particular is compact. V has no eigenvalues and therefore, by the spectral theory of compact operators, its spectrum...

the trace class norm and the Hilbert–Schmidt norm. Let H 1 {\displaystyle H_{1}} , H 2 {\displaystyle H_{2}} be Hilbert spaces, and T {\displaystyle T}...