On operator bands

Roman Drnovšek; Leo Livshits; Gordon MacDonald; Ben Mathes; Heydar Radjavi; Peter Šemrl

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Displaying similar documents to “On operator bands”

Sturdy bands of semigroups.

Miroslav Ciric, Stojan Bogdanovic (1990)

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In this paper we consider band compositions determined by two transitive systems of monomorphisms, called the sturdy bands of semigroups.

An irreducible semigroup of idempotents

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We construct a semigroup of bounded idempotents with no nontrivial invariant closed subspace. This answers a question which was open for some time.

An example of two non-isomorphic finite subdirectly irreducible bands generating the same variety of bands.

B.M. Schein (1972)

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Towards a classification of maximal unicellular bands.

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

J. Koliha (2000)

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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.