JOURNAL BROWSE
Search
Advanced SearchSearch Tips
NORMAL INTERPOLATION PROBLEMS IN ALGL
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
NORMAL INTERPOLATION PROBLEMS IN ALGL
Jo, Young-Soo;
  PDF(new window)
 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;
 Language
English
 Cited by
 References
1.
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. crossref(new window)

2.
R. G. Douglas, On majorization, factorization, and range inclusion of operators on Hilbert space, Proc. Amer. Math. Soc. 17 (1966), 413-415. crossref(new window)

3.
A. Hopenwasser, The equation Tx = y in a reflexive operator algebra, Indiana Univ. Math. J. 29 (1980), 121-126. crossref(new window)

4.
A. Hopenwasser, Hilbert-Schmidt interpolation in CSL algebras, Illinois J. Math. 33 (1989), no. 4, 657-672.

5.
Y. S. Jo and J. H. Kang, Interpolation Problems in AlgL, to appear.

6.
E. C. Lance, Some properties of nest algebras, Proc. London Math. Soc., 3 19 (1969), 45-68. crossref(new window)

7.
N. Munch, Compact causal data interpolation, J. Math. Anal. Appl. 140 (1989), 407-418. crossref(new window)