Birkhoff–James Orthogonality and Geometry of Operator Spaces
This book provides an insight into the geometric aspects of the spaces of operators studied by using the notion of Birkhoff–James orthogonality. It studies the norm attainment set of an operator and its properties, the notion of which plays a very important role in the characterization of B-J orthog...
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| Hauptverfasser: | , , |
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| Körperschaft: | |
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2024.
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| Ausgabe: | 1st ed. 2024. |
| Schriftenreihe: | Infosys Science Foundation Series in Mathematical Sciences,
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| Schlagworte: | |
| Online-Zugang: | https://doi.org/10.1007/978-981-99-7111-4 |
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Inhaltsangabe:
- 1 Notations and Terminologies
- 2 Basic theory of B-J orthogonality in Banach space
- 3 Operator norm attainment
- 4 B-J orthogonality of operators
- 5 Approximate B-J orthogonality
- 6 Smoothness and k−smoothness of operators
- 7 Symmetry of the B-J orthogonality
- 8 Extreme contractions.