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Operators and Function Theory (Hardcover, 1985 ed.)
Loot Price: R4,581
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Operators and Function Theory (Hardcover, 1985 ed.)
Series: NATO Science Series C, 153
Expected to ship within 10 - 15 working days
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In the modern study of Hilbert space operators there has been an
increasingly subtle involvement with analytic function theory. This
is evident in the analysis of subnormal operators, Toeplitz
operators and Hankel operators, for example. On the other hand the
operator theoretic viewpoint of interpolation by analytic functions
is a powerful one. There has been significant activity in recent
years, within these enriching interactions, and the time seemed
right for an overview ot the main lines of development. The
Advanced Study Institute 'Operators and Function Theory' in
Lancaster, 1984, was devoted to this, and this book contains ex
panded versions (and one contraction) of the main lecture prog
ramme. These varied articles, by prominent researchers, include,
for example, a survey of recent results on subnormal operators,
recent work of Soviet mathematicians on Hankel and Toeplitz
operators, expositions of the decomposition theory and inter
polation theory for Bergman, Besov and Bloch spaces, with applic
ations for special operators, the Krein space approach to inter
polation problems, ** and much more. It is hoped that these
proceedings will bring all this lively mathematics to a wider
audience. Sincere thanks are due to the Scientific Committee of the
North Atlantic Treaty Organisation for the generous support that
made the institute possible, and to the London Mathematical Society
and the British Council for important additional support. Warm
thanks also go to Barry Johnson and the L.M.S. for early guidance,
and to my colleague Graham Jameson for much organisational support.
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