Abstract and Applied Analysis

Preservers for the p -Norm of Linear Combinations of Positive Operators

Gergő Nagy

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Abstract

We describe the structure of those transformations on certain sets of positive operators which preserve the p-norm of linear combinations with given nonzero real coefficients. These sets are the collection of all positive pth Schatten-class operators and the set of its normalized elements. The results of the work generalize, extend, and unify several former theorems.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 434121, 9 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412273296

Digital Object Identifier
doi:10.1155/2014/434121

Mathematical Reviews number (MathSciNet)
MR3193514

Zentralblatt MATH identifier
07022383

Citation

Nagy, Gergő. Preservers for the $p$ -Norm of Linear Combinations of Positive Operators. Abstr. Appl. Anal. 2014 (2014), Article ID 434121, 9 pages. doi:10.1155/2014/434121. https://projecteuclid.org/euclid.aaa/1412273296


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