Covariance-Parameter Levy Processes in the Space of Trace-Class Operators

The paper deals with L ́evy processes with values in L1(H), the Banach space of trace-class operators in a Hilbert space H: L ́evy processes with values and parameter in a cone K of L1(H) are defined and several properties are established. A family ofL1(H)-valued L ́evy processes is obtained via the...

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Detalhes bibliográficos
Autor: VICTOR MANUEL PEREZ ABREU CARRION
Formato: informe técnico
Estado:Versión publicada
Fecha de publicación:2003
País:México
Recursos:Centro de Investigación en Matemáticas
Repositorio:Repositorio Institucional CIMAT
Idioma:inglés
OAI Identifier:oai:cimat.repositorioinstitucional.mx:1008/693
Acesso em linha:http://cimat.repositorioinstitucional.mx/jspui/handle/1008/693
Access Level:acceso abierto
Palavra-chave:info:eu-repo/classification/MSC/Procesos de Levy
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/12
info:eu-repo/classification/cti/1208
info:eu-repo/classification/cti/120808
Descrição
Resumo:The paper deals with L ́evy processes with values in L1(H), the Banach space of trace-class operators in a Hilbert space H: L ́evy processes with values and parameter in a cone K of L1(H) are defined and several properties are established. A family ofL1(H)-valued L ́evy processes is obtained via the subordination ofK- parameter, L1(H)-valued L ́evy processes.