On the spectral multiplicity of a direct sum of operators
Volume 104 / 2006
Colloquium Mathematicum 104 (2006), 105-112
MSC: Primary 47B38.
DOI: 10.4064/cm104-1-7
Abstract
We calculate the spectral multiplicity of the direct sum $T\oplus A$ of a weighted shift operator $T$ on a Banach space $Y$ which is continuously embedded in $l^{p}$ and a suitable bounded linear operator $A$ on a Banach space $X$.