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- W853270133 abstract "Given operators X and Y acting on a Hilbert space , an interpolating operator is a bounded operator A such that AX = Y. An interpolating operator for n-operators satisfies the equation , for . In this article, we obtained the following : Let be a Hilbert space and let be a commutative subspace lattice on . Let X and Y be operators acting on . Then the following statements are equivalent. (1) There exists an operator A in such that AX = Y, A is positive and every E in reduces A. (2) sup and $f_i{in}{mathcal{H}}, ${sum}^n_{i=1};E_iX;f_i>;{geq}0$, , and ." @default.
- W853270133 created "2016-06-24" @default.
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- W853270133 date "2004-01-01" @default.
- W853270133 modified "2023-09-23" @default.
- W853270133 title "POSITIVE INTERPOLATION PROBLEMS IN ALG𝓛" @default.
- W853270133 hasPublicationYear "2004" @default.
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