The Szegő infimum
- 1 January 1971
- journal article
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 29 (1) , 55
- https://doi.org/10.1090/s0002-9939-1971-0290170-2
Abstract
This paper studies the Szegö infimum relative to a nonnegative, essentially bounded, operator-valued weight function and obtains a necessary and sufficient condition for this infimum to be positive.Keywords
This publication has 13 references indexed in Scilit:
- Algebraic Properties of Toeplitz operatorsPublished by Springer Nature ,1983
- Shifts on Hilbert SpacesPublished by Springer Nature ,1983
- A factorable weight with zero Szegö infimumProceedings of the American Mathematical Society, 1972
- Lectures on Invariant Subspaces.The American Mathematical Monthly, 1968
- Hilbert-space methods in elliptic partial differential equationsPacific Journal of Mathematics, 1967
- On Factoring Matrix Valued FunctionsAnnals of Mathematics, 1963
- Relative self-adjoint operators in Hilbert spacePacific Journal of Mathematics, 1961
- The Factorization of Operator Valued FunctionsAnnals of Mathematics, 1961
- Prediction theory and Fourier Series in several variablesActa Mathematica, 1958
- The prediction theory of multivariate stochastic processes, II: The linear predictorActa Mathematica, 1958