Temat: Hankel operators - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Toeplitz versus Hankel: semibounded operators
Autorzy:: Yafaev, D. R.
Powiązania:: https://bibliotekanauki.pl/articles/254763.pdf
Data publikacji:: 2018
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: semibounded Toeplitz Hankel and Wiener-Hopf operators
closable and closed quadratic forms
Opis:: Our goal is to compare various results for Toeplitz T and Hankel H operators. We consider semibounded operators and find necessary and sufficient conditions for their quadratic forms to be closable. This property allows one to define T and H as self-adjoint operators under minimal assumptions on their matrix elements. We also describe domains of the closed Toeplitz and Hankel quadratic forms.
Źródło:: Opuscula Mathematica; 2018, 38, 4; 573-590
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Hankel and Toeplitz operators: continuous and discrete representations
Autorzy:: Yafaev, D. R.
Powiązania:: https://bibliotekanauki.pl/articles/255802.pdf
Data publikacji:: 2017
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: unbounded Hankel and Toeplitz operators
various representations
moment problems
generalized Hilbert matrices
Opis:: We find a relation guaranteeing that Hankel operators realized in the space of sequences [formula] and in the space of functions [formula] are unitarily equivalent. This allows us to obtain exhaustive spectral results for two classes of unbounded Hankel operators in the space [formula] generalizing in different directions the classical Hilbert matrix. We also discuss a link between representations of Toeplitz operators in the spaces [formula] and [formula].
Źródło:: Opuscula Mathematica; 2017, 37, 1; 189-218
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: The geometry of Darlington synthesis
Autorzy:: Dewilde, P.
Powiązania:: https://bibliotekanauki.pl/articles/908125.pdf
Data publikacji:: 2001
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: Darlington synthesis
Hankel operator
time varying systems
contractive operators
coprime factorization
Opis:: We revisit the classical problem of `Darlington synthesis', or Darlington embedding. Although traditionally it is solved using analytic means, a more natural way to approach it is to use the geometric properties of a well-chosen Hankel map. The method yields surprising results. In the first place, it allows us to formulate necessary and sufficient conditions for the existence of the embedding in terms of systems properties of the transfer operation to be embedded. In addition, the approach allows us to extend the solution to situations where no analytical transform is available. The paper has a high review content, as all the results presented have been obtained during the last twenty years and have been published. However, we make a systematic attempt at formulating them in a geometric way, independent of an accidental parametrization. The benefit is clarity and generality.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2001, 11, 6; 1379-1386
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Multipliers of Hardy spaces, quadratic integrals and Foiaş-Williams-Peller operators
Autorzy:: Blower, G.
Powiązania:: https://bibliotekanauki.pl/articles/1217911.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: polynomially bounded operators
Hankel operators
multipliers
Carleson measures
Opis:: We obtain a sufficient condition on a B(H)-valued function φ for the operator $⨍ ↦ Γ_φ ⨍'(S)$ to be completely bounded on $H^∞ B(H)$; the Foiaş-Williams-Peller operator | S^t Γ_φ | R_φ = | | | 0 S | is then similar to a contraction. We show that if ⨍ : D → B(H) is a bounded analytic function for which $(1-r) ||⨍'(re^{iθ})||^2_{B(H)} rdrdθ$ and $(1-r) ||⨍"(re^{iθ})||_{B(H)} rdrdθ$ are Carleson measures, then ⨍ multiplies $(H^1c^1)'$ to itself. Such ⨍ form an algebra A, and when φ'∈ BMO(B(H)), the map $⨍ ↦ Γ_φ ⨍'(S)$ is bounded $A → B(H^2(H), L^2(H) ⊖ H^2(H))$. Thus we construct a functional calculus for operators of Foiaş-Williams-Peller type.
Źródło:: Studia Mathematica; 1998, 131, 2; 179-188
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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