Factorization along nest algebras
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- by Avraham Feintuch PDF
- Proc. Amer. Math. Soc. 84 (1982), 192-194 Request permission
Abstract:
Let $T$ be a positive definite operator on $\mathcal {H}$ and $\mathcal {R}$ a nest algebra in $B(\mathcal {H})$. A necessary and sufficient condition is given for the existence of a factorization for $T$ of the form $T = {A^* }A$ with $A$, ${A^{ - 1}} \in \mathcal {R}$.References
- William Arveson, Interpolation problems in nest algebras, J. Functional Analysis 20 (1975), no. 3, 208–233. MR 0383098, DOI 10.1016/0022-1236(75)90041-5
- I. C. Gohberg and M. G. Kreĭn, Theory and applications of Volterra operators in Hilbert space, Translations of Mathematical Monographs, Vol. 24, American Mathematical Society, Providence, R.I., 1970. Translated from the Russian by A. Feinstein. MR 0264447 T. Kailath, Lectures on linear least-square estimation, Springer-Verlag, New York, 1976. D. Larson (preprint).
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 84 (1982), 192-194
- MSC: Primary 47A68; Secondary 47B35
- DOI: https://doi.org/10.1090/S0002-9939-1982-0637167-5
- MathSciNet review: 637167