| dc.description.abstract | Abstract
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 ::;1 | en_US |
