4 papers
math.FA2019
Isometric Operators on Variable-Exponent Discrete Lebesgue Spaces
Philip M. Gipson
We investigate the structure of norm-preserving and linear but not necessarily surjective operators on variable-exponent, discrete Lebesgue spaces. A certain class of isometries, n…
math.OA2017
Toeplitz Algebras of Correspondences and Endomorphisms of Sums of Type I Factors
Philip M. Gipson
It is a well-known fact that endomorphisms of are intimately connected with families of mutually orthogonal isometries, i.e. with representations of the so-called Toeplitz $…
math.OA2016
On Equivalence for Representations of Toeplitz Algebras
Philip M. Gipson
Two new notions of equivalence for representations of a Toeplitz algebra , , on a common Hilbert space are defined. Our main results apply to -dynamic…
math.OA2014
Invariant Basis Number for -Algebras
Philip M. Gipson
We develop the ring-theoretic notion of Invariant Basis Number in the context of unital -algebras and their Hilbert -modules. Characterization of -algebras with Inva…