[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2004.41.3.423

ON OPERATOR INTERPOLATION PROBLEMS

Jo, Young-Soo (Department of Mathematics Keimyung University)
Kang, Joo-Ho (Department of Mathematics Daegu University)
Kim, Ki-Sook (Department of Mathematics Daegu University)

Publication Information

Journal of the Korean Mathematical Society / v.41, no.3, 2004 , pp. 423-433 More about this Journal

Abstract

In this paper we obtained the following: Let H. be a Hilbert space and (equation omitted) be a subspace lattice on H. Let X and Y be operators acting on H. If the range of X is dense in H, then the following are equivalent: (1) there exists an operator A in Alg(equation omitted) such that AX = Y, (2) sup (equation omitted) Moreover, if condition (2) holds, we may choose the operator A such that ∥A∥ = K.

Keywords

interpolation problem; subspace lattice; Alg(equation omitted); CSL.;

Citations & Related Records

Times Cited By Web Of Science : 1 (Related Records In Web of Science)
Times Cited By SCOPUS : 2

Reference
Cited By SCOPUS

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2	Compact causal data interpolation / [ N.Munch ] / J. Math. Anal. Appl. DOI
3	Interpolation problems for ideals in nest algebras / [ M.Anoussis;E.Katsoulis;R.L.Moore;T.T.Trent ] / Math. Proc. Camb. Phil. Soc. DOI
4	Hibert-Schmidt Interpolation in CSL-Algebras / [ A.Hopenwasser ] / Illinois J. Math.
5	Some properties of nest algebras / [ E.C.Lance ] / Proc. London Math. Soc. DOI
6	The equation Tx=y in a reflexive operator algebra / [ A.Hopenwasser ] / Indiana Univ. Math. J. DOI
7	Irreducible Operator Algebras / [ R.Kadison ] / Pro. Nat. Acad. Sci. U.S.A.
8	/ [ Y.S.Jo;J.H.Kang ] / Interpolation problems in AlgL
9	On majorization, factorization, and range inclusion of operators of Hilbert space / [ R.G.Douglas ] / Proc. Amer. Math. Soc. DOI ScienceOn
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3_4	SANG KI LEE. (2015) Journal of applied mathematics & informatics SOLVING OPERATOR EQUATIONS Ax = Y AND Ax = y IN ALGL / 33 (3_4) , 417
3_4	Joo Ho Kang. (2014) Journal of applied mathematics & informatics COMPACT INTERPOLATION ON AX = Y IN ALG𝓛 / 32 (3_4) , 441
2	Young-Soo Jo. (2008) Honam Mathematical Journal NORMAL INTERPOLATION ON AX = Y IN ALG<img align=middle src='http://ocean.kisti.re.kr/cgi-bin/mimetex.cgi?\small{$\mathcal{L}$}' alt='$\mathcal{L}$' title='$\mathcal{L}$' /> / 30 (2) , 329

1	EQUATIONS AX = Y AND Ax = y IN ALGL / [Jo, Young-Soo;Kang, Joo-Ho;Park, Dong-Wan;] / Journal of the Korean Mathematical Society
2	NORMAL INTERPOLATION ON AX = Y IN ALG $\mathcal{L}$ / [Jo, Young-Soo;] / Honam Mathematical Journal
3	COMPACT INTERPOLATION ON AX = Y IN ALG𝓛 / [Kang, Joo Ho;] / Journal of applied mathematics & informatics

1	/ Journal of the Korean Mathematical Society
2	/ Communications in Applied Analysis