Finite dimensional invariant subspaces for algebras of linear operators and amenable Banach algebras
Copyright policy )Finite dimensional invariant subspaces for algebras of linear operators and amenable Banach algebras
Let \( A\) be a Banach algebra and \(\phi\) be a character on \( A\). The authors consider \(P_1( A, \phi)\), the set of all \(\phi\)-maximal elements of \(A\), and also representations of this semigroup on separated locally convex vector spaces. They study a finite-dimensional property in terms of amenability of the closed linear span of \(P_1( A, \phi)\). They present some applications concerning the group algebra, the measure algebra and the generalized Fourier algebra of a locally compact group.
- Isfahan University of Technology Iran (Islamic Republic of)
- Institute for Research in Fundamental Sciences Iran (Islamic Republic of)
finite dimensional invariant subspace, Means on groups, semigroups, etc.; amenable groups, Banach algebra, General theory of topological algebras, locally compact group, fixed point property, \(L^1\)-algebras on groups, semigroups, etc., character amenable, maximal element
finite dimensional invariant subspace, Means on groups, semigroups, etc.; amenable groups, Banach algebra, General theory of topological algebras, locally compact group, fixed point property, \(L^1\)-algebras on groups, semigroups, etc., character amenable, maximal element
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