The Maximal Subspace for Generation of (a,k)-Regularized Families
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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/683021 |