The Maximal Subspace for Generation of (a,k)‎-Regularized Families

الملخص EN

Let A be a linear operator in a Banach space X.

We define a subspace of X and a norm such that the part of A in such subspace generates an (a, k)-regularized resolvent family.

This space is maximal-unique in a suitable sense and nontrivial, under certain conditions on the kernels a and k.