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A Helson-Lowdenslager-deBranges Theorem in

Author(s): Vern I. Paulsen; Dinesh Singh
Journal: Proc. Amer. Math. Soc. 129 (2001), 1097-1103.
MSC (1991): Primary 47A15
Posted: October 31, 2000
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Abstract | References | Similar articles | Additional information

Abstract:

This paper presents a generalization of the invariant subspace theorem of Helson and Lowdenslager along the lines of de Branges' generalization of Beurling's theorem.

References:

1.: L. de Branges, Square Summable Power Series, (To appear). MR 35:5909
2.: H. Helson, Harmonic Analysis, Hindustan Book Agency (1995). MR 96m:42001
3.: H. Helson and D. Lowdenslager, Invariant subspaces, Proc. Int. Symp. Linear Spaces, Jerusalem, (1960) 251-262, Macmillan. MR 28:487
4.: K. Hoffman, Banach Spaces of Analytic Functions, Prentice Hall, (1962). MR 24:A2844
5.: M. Rosenblum and J. Rovnjak, Hardy Classes and Operator Theorem, Oxford University Press (1985).
6.: D. Sarason, Shift invariant spaces from the Brangesian point of view. The Bieberbach Conjecture-Proceedings of the Symposium of the Occasion of the Proof, Amer. Math. Soc. (1986). MR 88d:47014a
7.: D. Sarason, Sub-Hardy Hilbert Spaces in the Unit Disk, John Wiley and Sons (1994). MR 96k:46039


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