On Fredholm Properties of a Class of Hankel Operators

Karapetiants, Nikolai

doi:10.1002/1522-2616(200009)217:1<75::aid-mana75>3.0.co;2-j

Cited by 10 publications

(12 citation statements)

References 15 publications

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“…and c + is the plus factor in the Wiener-Hopf factorization (15) of the function c. The function ψ 0 is defined in (18) and using another representation of the Laguerre polynomials -cf. [12, Eq.…”

Section: Necessary Conditions For One-sided Invertibilitymentioning

confidence: 99%

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Wiener-Hopf plus Hankel operators: Invertibility Problems

Didenko,

Silbermann

2019

Preprint

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The invertibility of Wiener-Hopf plus Hankel operators W (a) + H(b) acting on the spaces L p (R + ), 1 < p < ∞ is studied. If a and b belong to a subalgebra of L ∞ (R) and satisfy the conditionwe establish necessary and also sufficient conditions for the operators W (a)+H(b) to be one-sided invertible, invertible or generalized invertible. Besides, efficient representations for the corresponding inverses are given.

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Section: Necessary Conditions For One-sided Invertibilitymentioning

confidence: 99%

“…If a = b, then hardly verified assumptions concerning the factorization of auxiliary matrix-functions is used. To study Wiener-Hopf plus Hankel operators of the form I + H(b), another method has been employed in [18,19], where the essential spectrum and the index of such operators are determined.…”

Section: Introductionmentioning

confidence: 99%

Wiener-Hopf plus Hankel operators: Invertibility Problems

Didenko,

Silbermann

2019

Preprint

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“…In the following, this approach is used without any special reference. Recall that in a special case a similar construction was used in [9]. Let c ∈ L ∞ (T).…”

Section: Index Computationmentioning

confidence: 99%

Index calculation for Toeplitz plus Hankel operators with piecewise quasi-continuous generating functions

Didenko

Silbermann²

2013

Bulletin of the London Mathematical Society

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“…It is convenient for our purposes to identify the maximal ideal space of the algebra TH π 1 (P C p ) with R. The Gelfand transform of T π t (χ + ) is then given by λ → µ q (λ) due to (12). Let h denote the Gelfand transform of H π 1 (f ).…”

Section: The Fredholm Propertymentioning

confidence: 99%