Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem

Alpay, Daniel; Kaptanoğlu, H. Turgay

doi:10.1007/bf01203020

Cited by 41 publications

(36 citation statements)

References 18 publications

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“…For N = 2, the result of Theorem 5.3 was proved by direct computations in [3]. We also remark that in view of Theorem 5.3, we have the evaluation…”

Section: Theorem 53 Denote By T Ja the Operator Of Multiplication Bymentioning

confidence: 68%

“…We first recall that R j,a is well defined on the Hardy space, and thus defined on A (still, it is not clear that R j,a maps A into itself). It was proved in [3] that the operators {T * j,a } are bounded and form a commuting solution to Gleason's problem in A. Hence, by Theorem 4.1, both T * j,a and R j,a satisfy…”

Section: Theorem 53 Denote By T Ja the Operator Of Multiplication Bymentioning

confidence: 92%

See 1 more Smart Citation

On commuting operators solving Gleason’s problem

Alpay

Dubi

2005

Proc. Amer. Math. Soc.

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“…For N = 2, the result of Theorem 5.3 was proved by direct computations in [3]. We also remark that in view of Theorem 5.3, we have the evaluation…”

Section: Theorem 53 Denote By T Ja the Operator Of Multiplication Bymentioning

confidence: 68%

Section: Theorem 53 Denote By T Ja the Operator Of Multiplication Bymentioning

confidence: 92%

On commuting operators solving Gleason’s problem

Alpay

Dubi

2005

Proc. Amer. Math. Soc.

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“…Actually, a version of this theorem holds in any complete Pick space [91], thus in particular it holds for quotients of H [4,5,37] finite dimensional invariant subspaces of S ˝I K were studied, and further information was obtained.…”

Section: Beurling Type Theoremsmentioning

confidence: 98%