Dilations, Functoinal Model And A Complete Unitary Invariant Of A r-contraction.
A pair of commuting bounded operators (S, P) for which the set r = {(z 1 +z 2,z 1z 2) : |z 1| ≤1, |z 2| ≤1} C2 is a spectral set, is called a r-contraction in the literature. For a contraction P and a bounded commutant S of P, we seek a solution of the operator equation S –S*P = (I –P*P)½ X(I –P*P)...
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| Language: | en_US |
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2013
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| Online Access: | http://etd.iisc.ernet.in/handle/2005/2182 http://etd.ncsi.iisc.ernet.in/abstracts/2790/G25106-Abs.pdf |