ON OPERATOR INTERPOLATION PROBLEMS
In: Journal of the Korean Mathematical Society, Jg. 41 (2004-05-01), S. 423-433
Online
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Zugriff:
In this paper we obtained the following : Let H be a Hilbert space and L 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 AlgL such that AX = Y , (2) sup ‰ kE ? Y fk kE ? Xfk : f 2 H; E 2 L ae = K < 1: Moreover, if condition (2) holds, we may choose the operator A such that kAk = K.
Titel: |
ON OPERATOR INTERPOLATION PROBLEMS
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Autor/in / Beteiligte Person: | Ki Sook Kim ; Joo Ho Kang ; Young Soo Jo |
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Zeitschrift: | Journal of the Korean Mathematical Society, Jg. 41 (2004-05-01), S. 423-433 |
Veröffentlichung: | The Korean Mathematical Society, 2004 |
Medientyp: | unknown |
ISSN: | 0304-9914 (print) |
DOI: | 10.4134/jkms.2004.41.3.423 |
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