Compact Operators

Some articles on operators, compact operator, compact, compact operators, operator:

Compact Operator On Hilbert Space - Some General Properties
... Let H be a Hilbert space, L(H) be the bounded operators on H ... T ∈ L(H) is a compact operator if the image of each bounded set under T is relatively compact ... We list some general properties of compact operators ...
Spectral Theory Of Compact Operators - Compact Operators - Operators With Compact Power
... If B is an operator on a Banach space X such that Bn is compact for some n, then the theorem proven above also holds for B ...
Multiplier Algebra - Definition
... For instance, if A is the compact operators K(H) on a separable Hilbert space, then each x ∈ B(H) defines a double centralizer of A by simply multiplication from the left and right ... compact) operators on E M(A) can be identified via a *-homomorphism of A into B(E) ... similar to the above lemma is true The C*-algebra A is isomorphic to the compact operators on the Hilbert module A ...
Examples - C*-algebras of Compact Operators
... The algebra K(H) of compact operators on H is a norm closed subalgebra of B(H) ... Concrete C*-algebras of compact operators admit a characterization similar to Wedderburn's theorem for finite dimensional C*-algebras ...

Famous quotes containing the word compact:

    The worst enemy of truth and freedom in our society is the compact majority. Yes, the damned, compact, liberal majority.
    Henrik Ibsen (1828–1906)