Firstly, we consider when certain invertible isometrics on Banach spaces have (bounded linear) logarithms and when they are trigonometrically well bounded, i.e., have spectral decompositions similar to that of a unitary operator. We then survey aspects of the theory of trigonometrically well-bounded operators, including an outline of some recent results.
|Title of host publication||VECTOR MEASURES, INTEGRATION AND RELATED TOPICS|
|Editors||GP Curbera, G Mockenhaupt, WJ Ricker|
|Place of Publication||BASEL|
|Publisher||Birkhauser Verlag AG|
|Number of pages||15|
|Publication status||Published - 2010|