Translator Disclaimer
Autumn 2017 Structures on the way from classical to quantum spaces and their tensor products
Alexander Helemskii
Adv. Oper. Theory 2(4): 447-467 (Autumn 2017). DOI: 10.22034/aot.1706-1189

Abstract

We study tensor products of two structures situated, in a sense, between normed spaces and (abstract) operator spaces. We call them Lambert and proto-Lambert spaces and pay more attention to the latter ones. The considered two tensor products lead to essentially different norms in the respective spaces. Moreover, the proto-Lambert tensor product is especially nice for spaces with the maximal proto-Lambert norm and in particular, for $L_1$-spaces. At the same time the Lambert tensor product is nice for Hilbert spaces with the minimal Lambert norm.

Citation

Download Citation

Alexander Helemskii. "Structures on the way from classical to quantum spaces and their tensor products." Adv. Oper. Theory 2 (4) 447 - 467, Autumn 2017. https://doi.org/10.22034/aot.1706-1189

Information

Received: 20 June 2017; Accepted: 6 July 2017; Published: Autumn 2017
First available in Project Euclid: 4 December 2017

zbMATH: 1385.46039
MathSciNet: MR3730040
Digital Object Identifier: 10.22034/aot.1706-1189

Subjects:
Primary: 46L07
Secondary: 46M05

Rights: Copyright © 2017 Tusi Mathematical Research Group

JOURNAL ARTICLE
21 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.2 • No. 4 • Autumn 2017
Back to Top