Abstract
We present an inequality for tensor product of positive operators on Hilbert spaces by considering the tensor products of operators as words on certain alphabets (i.e., a set of letters). As applications of the operator inequality and by a multilinear approach, we show some matrix inequalities concerning induced operators and generalized matrix functions (including determinants and permanents as special cases).
| Original language | American English |
|---|---|
| Pages (from-to) | 99-105 |
| Number of pages | 7 |
| Journal | Linear Algebra and its Applications |
| Volume | 498 |
| DOIs | |
| State | Published - Jun 1 2016 |
Bibliographical note
Publisher Copyright:© 2015 Elsevier Inc. All rights reserved.
ASJC Scopus Subject Areas
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics
Keywords
- Generalized matrix function
- Induced operator
- Inequality
- Positive operator
- Positive semidefinite matrix
- Positivity
- Tensor
- Word
Disciplines
- Mathematics
- Physical Sciences and Mathematics
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