Back to RS-SR spectral theory

Volume 75 / 2007

C. Benhida, E. H. Zerouali Banach Center Publications 75 (2007), 55-66 MSC: Primary 47A11, 47A10. DOI: 10.4064/bc75-0-4

Abstract

Let $X, Y$ be Banach spaces, $S: X \to Y$ and $R: Y \to X$ be bounded operators. We investigate common spectral properties of $RS$ and $SR$. We then apply the result obtained to extensions, Aluthge transforms and upper triangular operator matrices.

Authors

  • C. BenhidaUniversité de Lille 1
    UFR de Mathématiques
    CNRS-UMR 8524
    Bât. M2
    59655 Villeneuve Cedex
    France
    e-mail
  • E. H. ZeroualiFaculté des Sciences de Rabat
    BP 1014 Rabat
    Morocc
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image