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The polynomial dual of an operator ideal

✍ Scribed by Botelho, Geraldo; Çalışkan, Erhan; Moraes, Giselle

Book ID: 125349807
Publisher: Springer Vienna
Year: 2013
Tongue: English
Weight: 210 KB
Volume: 173
Category: Article
ISSN: 0026-9255
DOI: 10.1007/s00605-013-0569-z

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## Abstract It is well‐known that an operator __T__ ∈ L(__E, F__) is strictly singular if ∥__T__~__x__~∥≧λ∥__x__∥ on a subspace __Z__ ⊂ __E__ implies dim __Z__ < + ∞. The present paper deals with ideals of operators defined by a condition — ∥__T__~__x__~∥≧λ∥__x__∥ on an infinite‐dimensional subspac