THE INVARIANT SUBSPACE PROBLEM FOR CONTRACTIVE OPERATORS IN KREIN SPACES

dc.contributor.authorWILBROAD, BEZIRE
dc.date.accessioned2022-07-07T11:48:55Z
dc.date.available2022-07-07T11:48:55Z
dc.date.issued2022
dc.descriptionJournal Article on THE INVARIANT SUBSPACE PROBLEM FOR CONTRACTIVE OPERATORS IN KREIN SPACESen_US
dc.description.abstractThe invariant subspace problem, which is one of the most funda mental questions in operator theory and which has been a subject of study for several decades remains open even on a Hilbert space. However, for certain classes of operators, for example, compact operators, solutions do exist. In this paper, we address this question for contractive operators T defined on a Krein space K. We investigate the existence of semi-definite invariant subspaces and establish that every contractive operator T defined on a Krein space K has maximal semi-definite invariant subspacesen_US
dc.identifier.issn2789-7206
dc.identifier.urihttps://ir.bsu.ac.ug//handle/20.500.12284/373
dc.language.isoen_USen_US
dc.relation.ispartofseries;Vol 7 (2022) 32-44
dc.subjectINVARIANT SUBSPACEen_US
dc.subjectPROBLEM FOR CONTRACTIVEen_US
dc.subjectOPERATORS IN KREIN SPACESen_US
dc.titleTHE INVARIANT SUBSPACE PROBLEM FOR CONTRACTIVE OPERATORS IN KREIN SPACESen_US
dc.typeArticleen_US

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