Wyniki wyszukiwania - BazTech

Ograniczanie wyników

2 Opuscula Mathematica

2 Yafaev D. R.

Powiadomienia systemowe

Sesja wygasła!
Sesja wygasła!
Sesja wygasła!

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Toeplitz versus Hankel: semibounded operators

Yafaev D. R.

Opuscula Mathematica

2018

Vol. 38, no. 4

573--590

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.

Hankel and Toeplitz operators: continuous and discrete representations

Yafaev D. R.

Opuscula Mathematica

2017

Vol. 37, no. 1

189--218

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].