On sums of Hankel operators
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- by Paul A. Fuhrmann PDF
- Proc. Amer. Math. Soc. 46 (1974), 65-68 Request permission
Abstract:
Necessary and sufficient conditions are derived for the sum of two Hankel operators of closed range to have closed range. As a corollary we determine when two left invariant subspaces of ${H^2}$ have positive angle.References
- R. G. Douglas, H. S. Shapiro, and A. L. Shields, Cyclic vectors and invariant subspaces for the backward shift operator, Ann. Inst. Fourier (Grenoble) 20 (1970), no. fasc. 1, 37–76 (English, with French summary). MR 270196
- Paul A. Fuhrmann, On the corona theorem and its application to spectral problems in Hilbert space, Trans. Amer. Math. Soc. 132 (1968), 55–66. MR 222701, DOI 10.1090/S0002-9947-1968-0222701-7
- Paul A. Fuhrmann, Exact controllability and observability and realization theory in Hilbert space, J. Math. Anal. Appl. 53 (1976), no. 2, 377–392. MR 504097, DOI 10.1016/0022-247X(76)90117-7
- P. A. Fuhrmann, On realization of linear systems and applications to some questions of stability, Math. Systems Theory 8 (1974/75), no. 2, 132–141. MR 403742, DOI 10.1007/BF01762183
- Kenneth Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0133008
- Angus E. Taylor, Introduction to functional analysis, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1958. MR 0098966
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 46 (1974), 65-68
- MSC: Primary 47B37; Secondary 30A78
- DOI: https://doi.org/10.1090/S0002-9939-1974-0353043-5
- MathSciNet review: 0353043