engleski

Unbounded operators on Hilbert C*-modules over C*-algebras of compact operators

The paper is devoted to closed modular densely defined operators on a Hilbert C*-module W over the C*-algebra of compact operators on a Hilbert space. A bijective operation preserving correspondence of the set of all such operators and the set of all closed densely defined operators on a Hilbert space is obtained. The polar decomposition of a closed operator is generalized as well as some results concerning operators with compact resolvent, relative compact operators and the generalized inverse.

C*-algebra; Hilbert C*-module; closed operator; closable operator; polar decomposition; relative compact operator; generalized inverse

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