Open Access
2011 Quotients of Quantum Bornological Spaces
Anar Dosi
Taiwanese J. Math. 15(3): 1287-1303 (2011). DOI: 10.11650/twjm/1500406300

Abstract

In the note we investigate the main duality properties of quantum (or local operator) spaces involving quantum bornology. Namely, we prove that each finite complete bornology admits precisely one quantization and each complete quantum space is a matrix bornology quotient of a local trace class algebra.

Citation

Download Citation

Anar Dosi. "Quotients of Quantum Bornological Spaces." Taiwanese J. Math. 15 (3) 1287 - 1303, 2011. https://doi.org/10.11650/twjm/1500406300

Information

Published: 2011
First available in Project Euclid: 18 July 2017

zbMATH: 1244.47060
MathSciNet: MR2829912
Digital Object Identifier: 10.11650/twjm/1500406300

Subjects:
Primary: 47L25
Secondary: 46L07

Keywords: absolutely matrix convex set , exact matrix quotient mapping , Hilbert-Schmidt boundary , matrix seminorm , quantum bornological spaces

Rights: Copyright © 2011 The Mathematical Society of the Republic of China

Vol.15 • No. 3 • 2011
Back to Top