[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2004.19.4.691

NORMAL INTERPOLATION PROBLEMS IN ALGL

Jo, Young-Soo (Department of Mathematics Keimyung University)

Publication Information

Communications of the Korean Mathematical Society / v.19, no.4, 2004 , pp. 691-700 More about this Journal

Abstract

Let X and Y be operators acting on a Hilbert space and let (equation omitted) be a subspace lattice of orthogonal projections on the space containing 0 and I. We investigate normal interpolation problems in Alg(equation omitted): Given operators X and Y acting on a Hilbert space, when does there exist a normal operator A in Alg(equation omitted) such that AX = Y?

Keywords

interpolation problem; subspace lattice; normal interpolation problem; AlgL;

Citations & Related Records

Reference

1	A. Hopenwasser, The equation Tx = y in a reflexive operator algebra, Indiana Univ. Math. J. 29 (1980), 121-126. DOI
2	A. Hopenwasser, Hilbert-Schmidt interpolation in CSL algebras, Illinois J. Math. 33 (1989), no. 4, 657-672.
3	Y. S. Jo and J. H. Kang, Interpolation Problems in AlgL, to appear.
4	E. C. Lance, Some properties of nest algebras, Proc. London Math. Soc., 3 19 (1969), 45-68. DOI
5	N. Munch, Compact causal data interpolation, J. Math. Anal. Appl. 140 (1989), 407-418. DOI
6	M. Anoussis, E. Katsoulis, R. L. Moore, and T. T. Trent, Interpolation problems for ideals in certain reflexive operator algebras, Math. Proc. Cambridge Philos. Soc. 111 (1992), 151-160. DOI
7	R. G. Douglas, On majorization, factorization, and range inclusion of operators on Hilbert space, Proc. Amer. Math. Soc. 17 (1966), 413-415. DOI ScienceOn