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UNITARY INTERPOLATION PROBLEMS IN CSL-ALGEBRA ALGL
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 Title & Authors
UNITARY INTERPOLATION PROBLEMS IN CSL-ALGEBRA ALGL
Jo, Yong-Soo; Kang, Joo-Ho;
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 Abstract
Given vectors x and y in a Hilbert space, an interpolating operator is a bounded operator T such that Tx=y. An interpolating operator for n-vectors satisfies the equation Ax=y. for i=1,2, …, n. In this article, we investigate unitary interpolation problems in CSL-Algebra AlgL : Let L be a commutative subspace lattice on a Hilbert space H. Let x and y be vectors in H. When does there exist a unitary operator A in AlgL such that Ax=y\ulcornerrner
 Keywords
Unitary interpolation problem;subspace lattice;CSL-algebra AlgL;
 Language
English
 Cited by
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