Riesz Decomposition Relative to C*-Algebra Homomorphisms
Spectral Theory
2018-03-29 v1 Operator Algebras
Abstract
The aim of the present work is to study the Riesz decomposition relative to a C*-algebra homomorphism T : A --> B. We prove that under some conditions on T, T-Riesz elements can be decomposed into the sum of almost T-null element and quasi-nilpotent element. Also the so-called polyno- mial T-Riesz and generalized T-Riesz decompositions will be discussed.
Keywords
Cite
@article{arxiv.1803.10483,
title = {Riesz Decomposition Relative to C*-Algebra Homomorphisms},
author = {Abdelaziz Tajmouati and Abdeslam El Bakkali and Safae Alaoui Chrifi},
journal= {arXiv preprint arXiv:1803.10483},
year = {2018}
}