A note on $\gamma$-radonifying and summing operators
Volume 105 / 2015
Banach Center Publications 105 (2015), 43-57
MSC: Primary 60H15, 35R60; Secondary 37H10, 34F05.
DOI: 10.4064/bc105-0-3
Abstract
In this note, we discuss certain generalizations of $\gamma$-radonifying operators and their applications to the regularity for linear stochastic evolution equations on some special Banach spaces. Furthermore, we also consider a more general class of operators, namely the so-called summing operators and discuss the application to the compactness of the heat semi-group between weighted $L^{p}$-spaces.
