논문KCI 등재
Invertible interpolation problems in Alg$\Cal L$
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Abstract
In this article, we investigate invertible interpolationproblems in AlgCal L : Let Cal L be a subspace lattice on aHilbert space Cal H and let X and Y be operators acting onCal H. When does there exist an invertible operator A inAlgCal L such that AX=Y?
참고문헌 (6)
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- "R. G. Douglas \paper On majorization and range inclusion of operators on Hilbert space \jour Proc. Amer. Math. Soc. \vol 17 \yr 1966 \pages 413--415"
- "A. Hopenwasser \paper The equation $Tx = y$ in a reflexive operator algebra \jour Indiana University Math. J. \vol29 \yr 1980 \pages 121--126"
- "Hilbert-Schmidt interpolation in CSLalgebras \jour Illinois J. Math. \vol 33 \issue 4 \yr 1989 \pages 657--672"
- "Y. S. Jo and J. H. Kang \paper InterpolationProblems in Alg$\Cal L$ \jour to appearE. Katsoulis and T. T. Trent \paper Interpolation in nest algebras and applications to operator Corona Theorems\jour J. Operator Theory \vol 29 \issue 1 \yr 1993 \pages 115--123"
- "E. C. Lance \paper Some properties of nestalgebras \jour Proc. London Math. Soc. \vol 19 \issue 3 \yr 1969 \pages 45--68"
관련 논문AI추천
Normal interpolation problems in Alg$\Cal L$조영수대한수학회 · 대한수학회논문집2004 · 제19권 제4호Unitary Interpolation Problems in Alg L강주호, Young Soo Jo경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제3호Unitary Interpolation problems in CSL-Algebra Alg$\Cal L$강주호, 조영수대한수학회 · 대한수학회보2003 · 제40권 제2호On operator interpolation problems강주호, 조영수, Ki Sook Kim대한수학회 · 대한수학회지2004 · 제41권 제3호Unitary interpolation for operators in tridiagonal algebrasJoo Ho Kang, Young Soo Jo대한수학회 · 대한수학회논문집2002 · 제17권 제3호Interpolation Problems for Trace-Class Operator in Tridiagonal AlgebraJOO HO KANG, YOUNG SOO JO경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제1호
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