Hitt’s theorem is extended to de Branges spaces, generalizing nearly invariant subspaces of the backward shift operator.
Authors
Arshad Khan, Department of Mathematics, Shiv Nadar Institution of Eminence, UP, Gautam Buddha Nagar, 201314, India
Sneh Lata, Department of Mathematics, Shiv Nadar Institution of Eminence, UP, Gautam Buddha Nagar, 201314, India
Dinesh Singh, Professor, Centre for Digital Sciences, O. P. Jindal Global University, Sonipat, Haryana, 131001, India
Summary
This article describes Hilbert spaces contractively contained in certain reproducing kernel Hilbert spaces of analytic functions on the open unit disc which are nearly invariant under division by an inner function. We extend Hitt’s theorem on nearly invariant subspaces of the backward shift operator on H2(D) as well as its many generalizations to the setting of de Branges spaces.
Published in: Canadian Mathematical Bulletin
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