[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2003.40.2.207

UNITARY INTERPOLATION PROBLEMS IN CSL-ALGEBRA ALGL

Jo, Yong-Soo (Department of Mathematics, Keimyung University)
Kang, Joo-Ho (Department of Mathematics, Taegu University)

Publication Information

Bulletin of the Korean Mathematical Society / v.40, no.2, 2003 , pp. 207-213 More about this Journal

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 $_{i}$ =y $_{i}$ . 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?

Keywords

Unitary interpolation problem; subspace lattice; CSL-algebra AlgL;

Citations & Related Records

Reference

1	/ [ Y.S.Jo;J.H.Kang ] / Interpolation problems in CSL-Algebra AlgL to appear in Rocky Mountain Journal
2	Some properties of nest algebras / [ E.C.Lance ] / Proc. London Math. Soc. DOI
3	Hilbert-Schmidt interpolation in CSL algebras / [ A.Hopenwasser ] / Illinois J. Math.
4	/ [ Y.S.Jo;J.H.Kang ] / Invertible Interpolation problems in CSL-Algebra AlgL
5	The equation Tx = y in a reflexive operator algebra / [ A.Hopenwasser ] / Indiana Univ. Math. J. DOI
6	Irreducible operator algebras / [ R.Kadison ] / Proc. Nat. Acad. Sci. U.S.A.
7	Interpolation in nest algebras and applications to operator Corona Theorems / [ E.Katsoulis;R.L.Moore;T.T.Trent ] / J. Operator Theory
8	Compact causal data interpolation / [ N.Munch ] / J. Math. Anal. Appl. DOI