Matricial norm structures and inequalities for the Schatten p-ideals
dc.contributor.author
Oliver, Anthony J.
en
dc.date.accessioned
2013-06-26T13:51:30Z
dc.date.available
2013-06-26T13:51:30Z
dc.date.issued
1996
dc.description.abstract
We construct ideals in an arbitrary C*-algebra (which correspond to those of the Schatten
p-ideals in B(H)) using the idea of a single element of an algebra and an isometric
*-representation due to J. A. Erdos. We show that many of the familiar results on the
Schatten p-ideals have a counterpart on these new structures. In particular, these ideals
may be thought of as a generalisation to C*-algebras of the unitary matrix spaces in
B(H) and we show that interpolation results due to Jonathan Arazy extend to these
new classes. The representation also enables us to view the concept of Volterra, Riesz
and Fredholm elements of a C*-algebra in a new light by representing these classes on
a Hilbert space. ... [?].
en
dc.identifier.other
503688
dc.identifier.uri
http://hdl.handle.net/1842/7266
dc.language.iso
eng
dc.publisher
University of Edinburgh
en
dc.subject
Mathematics
en
dc.title
Matricial norm structures and inequalities for the Schatten p-ideals
en
dc.type.qualificationname
PhD Doctor of Philosophy
en
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