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Subjects
46-XX Functional analysis
46Hxx Topological algebras, normed rings and algebras, Banach algebras
46H30 Functional calculus in topological algebras

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Elements of C*-algebras commuting with their Moore-Penrose inverse

J. Koliha (2000)

Studia Mathematica

We give new necessary and sufficient conditions for an element of a C*-algebra to commute with its Moore-Penrose inverse. We then study conditions which ensure that this property is preserved under multiplication. As a special case of our results we recover a recent theorem of Hartwig and Katz on EP matrices.

Embedding C(K) in B(X).

Richard Evans (1981)

Mathematica Scandinavica

Exponential bounds for noncommuting systems of matrices

Brian Jefferies (2001)

Studia Mathematica

It is shown that a finite system T of matrices whose real linear combinations have real spectrum satisfies a bound of the form $| | e^{i ⟨ T, ζ ⟩} | | \leq C (1 + {| ζ |)}^{s} e^{r | ℑ ζ |}$ . The proof appeals to the monogenic functional calculus.

Extension d'un théorème de von Neumann dans les a*-algèbres.

Abdellah El Kinani (1998)

Extracta Mathematicae

Extension of Analytic Functional Calculus Mappings and Duality by ...-Closed Forms with Growth.

Bernd Droste (1982)

Mathematische Annalen

Currently displaying 1 – 5 of 5

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