Back to RS-SR spectral theory
Tom 75 / 2007
Banach Center Publications 75 (2007), 55-66 MSC: Primary 47A11, 47A10. DOI: 10.4064/bc75-0-4
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.