More on finite rank elements
Copyright policy )More on finite rank elements
Summary: Recently it was shown that the trace and determinant on a semisimple Banach algebra could be defined in a purely spectral and analytic way. Here, these notions are based on an equivalent approach using the representation theory which was given by Brešar and Šemrl. Applying their point of view it is possible to extend several (in)equalities on rank, trace and determinant.
socle, rank, Ideals and subalgebras, Banach algebra, Representations of topological algebras, ideal, General theory of topological algebras, trace, irreducible representation, determinant
socle, rank, Ideals and subalgebras, Banach algebra, Representations of topological algebras, ideal, General theory of topological algebras, trace, irreducible representation, determinant
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