Commutant lifting theorem and interpolation in discrete nest algebras |
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Authors: | Boris Freydin |
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Institution: | (1) Department of Mathematics, Ben-Gurion University, 84105 Beer-Sheva, Israel |
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Abstract: | Ball in Ba] showed that the commutant lifting theorem for the nest algebras due to Paulsen and Power gives a unified approach to a wide class of interpolation problems for nest algebras. By restricting our attention to the case when nest algebras associated with the problems are discrete we derive a variant of the commutant lifting theorem which avoids language of representation theory and which is sufficient to treat an analog of the generalized Schur-Nevannlinna-Pick (SNP) problem in the setting of upper triangular operators. |
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Keywords: | Primary 47A47 Secondary 47A20 |
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