- About this Journal
- Abstracting and Indexing
- Aims and Scope
- Annual Issues
- Article Processing Charges
- Articles in Press
- Author Guidelines
- Bibliographic Information
- Citations to this Journal
- Contact Information
- Editorial Board
- Editorial Workflow
- Free eTOC Alerts
- Publication Ethics
- Reviewers Acknowledgment
- Submit a Manuscript
- Subscription Information
- Table of Contents
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 683021, 14 pages
doi:10.1155/2012/683021
The Maximal Subspace for Generation of -Regularized Families
1Facultad de Ciencias Básicas, Universidad Tecnológica de Bolívar, Cartagena, Colombia
2Departamento de Matemática y Ciencia de la Computación, Facultad de Ciencia, Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, Chile
Received 25 May 2012; Revised 7 September 2012; Accepted 12 September 2012
Academic Editor: Patricia J. Y. Wong
Copyright © 2012 Edgardo Alvarez-Pardo and Carlos Lizama. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Let be a linear operator in a Banach space . We define a subspace of and a norm such that the part of in such subspace generates an (, )-regularized resolvent family. This space is maximal-unique in a suitable sense and nontrivial, under certain conditions on the kernels and .