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dc.contributor.authorOKWANY, Isaac Odhiambo
dc.date.accessioned2021-06-28T12:59:57Z
dc.date.available2021-06-28T12:59:57Z
dc.date.issued2015
dc.identifier.urihttps://repository.maseno.ac.ke/handle/123456789/4051
dc.description.abstractAbstract Investigation of the properties of the numerical radius by Berger and Stampfli showed that indeed numerical radius norm is a Schwarz norm. Later on James P.Williams determined a family of distinct Schwarz norms by slightly modifying the Berger-Stampfli argument. In this thesis we have proved that by slight modification of the S; class constructed by Williams ,we can obtain a class SQ of Schwarz norms, for a positive hermitian operator Q where Q = cI(c ;:: l).We have also determined the scope of the new class of Schwarz norms constructed in terms of the underlying space. Finally we have given the characterizations for the Hilbert space given a contraction; T E B(tl) , IITII ::;1en_US
dc.publisherMaseno Universityen_US
dc.titleOn Schwarz normsen_US
dc.typeThesisen_US


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