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New Results on Some Transforms of Operators in Hilbert Spaces.
- Source :
-
Bulletin of the Brazilian Mathematical Society . Sep2024, Vol. 55 Issue 3, p1-18. 18p. - Publication Year :
- 2024
-
Abstract
- In this paper, we explore various transforms associated with a bounded linear operator T on a Hilbert space. These transforms include the Aluthge, λ -Aluthge, Duggal, generalized mean, and λ -mean transforms. Our aim is to investigate the connections between T and these transforms, focusing on aspects such as norm inequalities and numerical ranges, while also highlighting certain essential properties. Furthermore, we aim to determine the conditions under which an operator T coincides in norm with its transformed counterparts through these transformations. Several characterizations and properties are also derived. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16787544
- Volume :
- 55
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Brazilian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 179097894
- Full Text :
- https://doi.org/10.1007/s00574-024-00416-5