Intertwining operators over L1 (G) for G ? [PG] ? [SIN].
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Invertibility preserving linear mappings into M₂(ℂ)
M. H. Shirdarreh Haghighi (2008)
Studia Mathematica
We study discontinuous invertibility preserving linear mappings from a Banach algebra into the algebra of n × n matrices and give an explicit representation of such a mapping when n = 2.
Invertibility-preserving maps of -algebras with real rank zero.
Kovacs, Istvan (2005)
Abstract and Applied Analysis
Isometries between groups of invertible elements in Banach algebras
Osamu Hatori (2009)
Studia Mathematica
We show that if T is an isometry (as metric spaces) from an open subgroup of the group of invertible elements in a unital semisimple commutative Banach algebra A onto a open subgroup of the group of invertible elements in a unital Banach algebra B, then is an isometrical group isomorphism. In particular, extends to an isometrical real algebra isomorphism from A onto B.
Currently displaying 1 – 4 of 4
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