Stable approximate evaluation of unbounded operators

Spectral theory of bounded linear operators teams up with von Neumann’s theory of unbounded operators in this monograph to provide a general framework for the study of stable methods for the evaluation of unbounded operators. An introductory chapter provides numerous illustrations of unbounded linea...

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Detalles Bibliográficos
Autor principal: Groetsch, Charles W
Lenguaje:eng
Publicado: Springer 2007
Materias:
Acceso en línea:https://dx.doi.org/10.1007/3-540-39942-9
http://cds.cern.ch/record/1691348
Descripción
Sumario:Spectral theory of bounded linear operators teams up with von Neumann’s theory of unbounded operators in this monograph to provide a general framework for the study of stable methods for the evaluation of unbounded operators. An introductory chapter provides numerous illustrations of unbounded linear operators that arise in various inverse problems of mathematical physics. Before the general theory of stabilization methods is developed, an extensive exposition of the necessary background material from the theory of operators on Hilbert space is provided. Several specific stabilization methods are studied in detail, with particular attention to the Tikhonov-Morozov method and its iterated version.