Please use this identifier to cite or link to this item:
https://research.matf.bg.ac.rs/handle/123456789/399
Title: | Orthogonality in script G sign <inf>1</inf> and script G sign <inf>∞</inf> spaces and normal derivations |
Authors: | Kečkić, Dragoljub |
Affiliations: | Mathematical Analysis |
Keywords: | Derivation;Elementary operator;Gateaux derivative;Orthogonality in Banach spaces;Schatten ideals |
Issue Date: | 1-Jan-2004 |
Journal: | Journal of Operator Theory |
Abstract: | We introduce φ-Gateaux derivative, and use it to give the necessary and sufficient conditions for the operator Y to be orthogonal (in the sense of James) to the operator X, in both spaces script G sign 1 and script G sign ∞ (nuclear and compact operators on a Hilbert space). Further, we apply these results to prove that there exists a normal derivation Δ A such that ran Δ A ⊕ ker Δ A ≠ script G sign A1 , and a related result concerning script G sign ∞ . |
URI: | https://research.matf.bg.ac.rs/handle/123456789/399 |
ISSN: | 03794024 |
Appears in Collections: | Research outputs |
Show full item record
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.