Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/10276
Títulos: | On the Browder's theorem of an elementary operator |
Autores/as: | Lombarkia, F. Zguitti, H. |
Palabras clave: | Browder’s theorem;Elementary operator;Hereditarily polaroid operators;Teorema de Browder;Operador elemental;Operadores polaroid hereditarios |
Fecha de publicación: | 2013 |
Editor/a: | Universidad de Extremadura |
Resumen: | Let H be an infinite complex Hilbert space and consider two bounded linear operators A, B ∈ L(H). Let Lᴀ ∈ L(L(H)) and Rʙ ∈ L(L(H)) be the left and the right multiplication operators, respectively, and denote by dᴀ;ʙ ∈ L(L(H)) either the elementary operator Δᴀ;ʙ (X) = (Lᴀ Rʙ ̶ I)(X) = A X B ̶̶ X or the generalized derivation δᴀ, ʙ (X) = (Lᴀ ̶ Rʙ)(X) = AX ̶ XB. This paper is concerned with the problem of the transference of Browder’s theorem from operators A and B to their elementary operator dᴀ,ʙ. We give necessary and sufficient conditions for dᴀ,ʙ to satisfy Browder’s theorem. Some applications for completely hereditarily normaloid operators are given. |
URI: | http://hdl.handle.net/10662/10276 |
Colección: | Extracta Mathematicae Vol. 28, nº 2 (2013) |
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