Finite dimensional invariant subspaces for algebras of linear operators and amenable Banach algebras

We study a finite dimensional invariant subspace property similar to Fan's Theorem on semigroups for arbitrary Banach algebras A in terms of amenability of X(A,ϕ), the closed subalgebra of A generated by the set of all maximal elements in A with respect to a character ϕ. As a consequence, we of...

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Bibliographic Details
Published in:	Linear algebra and its applications Vol. 510; pp. 329 - 345
Main Authors:	Nasr-Isfahani, Rasoul, Nemati, Mehdi, Shahmoradi, Somayeh
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.12.2016
Subjects:	Banach algebra Character amenable Finite dimensional invariant subspace Fixed point property Locally compact group Maximal element 15A30 43A15 Banach algebra 43A20 Maximal element 43A10 Fixed point property Locally compact group 43A07 46H05 Finite dimensional invariant subspace Character amenable
ISSN:	0024-3795, 1873-1856
Online Access:	Get full text
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