Polynomials in operator space theory: matrix ordering and algebraic aspects
Operator Algebras
2017-10-11 v2
Abstract
We extend the -theory of operator spaces given by Defant and Wiesner (2014), that generalizes the notion of the projective, Haagerup and Schur tensor norm for operator spaces to matrix ordered spaces and Banach -algebras. Given matrix regular operator spaces and operator systems, we introduce cones related to for the algebraic tensor product that respect the matricial structure of matrix regular operator spaces and operator systems, respectively. The ideal structure of -tensor product of -algebras has also been discussed.
Cite
@article{arxiv.1703.07997,
title = {Polynomials in operator space theory: matrix ordering and algebraic aspects},
author = {Preeti Luthra and Ajay Kumar and Vandana Rajpal},
journal= {arXiv preprint arXiv:1703.07997},
year = {2017}
}
Comments
The final publication is available at Springer via http://dx.doi.org/10.1007/s11117-017-0532-7. arXiv admin note: text overlap with arXiv:1504.02846