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On norm-preserving isomorphisms of L-p (mu, H)

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dc.creator GUNTURK, B. A.
dc.creator Cengiz, B.
dc.creator GÜRDAL, Mehmet
dc.date 2016-01-31T22:00:00Z
dc.date.accessioned 2020-10-06T10:32:38Z
dc.date.available 2020-10-06T10:32:38Z
dc.identifier 75f228be-a5af-4b4c-8c7c-93d1ab9b813d
dc.identifier 10.15672/hjms.20164512488
dc.identifier https://avesis.sdu.edu.tr/publication/details/75f228be-a5af-4b4c-8c7c-93d1ab9b813d/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/63687
dc.description Given an arbitrary positive measure space (X, A, mu) and a Hilbert space H. In this article we give a new proof for the characterization theorem of the surjective linear isometries of the space L-p (mu, H) (for 1 <= p < infinity p not equal 2) which is essentially different from the existing one, and depends on the p-projections of L-p (mu, H). We generalize the known characterization of the p-projections of L-p (mu, H) for sigma-finite measure to the arbitrary case. They are proved to be the multiplication operations by the characteristic functions of the locally measurable sets, or that of the clopen (closed-open) subsets of the hyperstonean space the measure mu determines.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title On norm-preserving isomorphisms of L-p (mu, H)
dc.type info:eu-repo/semantics/article


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