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The polar decomposition of the product of three operators.
- Source :
- Linear & Multilinear Algebra; Feb2024, Vol. 72 Issue 3, p528-546, 19p
- Publication Year :
- 2024
-
Abstract
- In the setting of adjointable operators on Hilbert $ C^* $ C ∗ -modules, this paper deals with the polar decomposition of the product of three operators. The relationship between the polar decompositions associated with three operators is clarified. Based on this relationship, a formula for the polar decomposition of a multiplicative perturbation of an operator is provided. In addition, a full characterization is made on the polar decomposition of the product of three operators. Some applications of this characterization are also dealt with. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 72
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 175362453
- Full Text :
- https://doi.org/10.1080/03081087.2022.2159920