Zobrazeno 1 - 10
of 622
pro vyhledávání: '"Dilation (operator theory)"'
Autor:
Malte Litsgård, Kaj Nyström
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 157:45-100
In this paper we develop a potential theory for strongly degenerate parabolic operators of the form L : = ∇ X ⋅ ( A ( X , Y , t ) ∇ X ) + X ⋅ ∇ Y − ∂ t , in unbounded domains of the form Ω = { ( X , Y , t ) = ( x , x m , y , y m , t )
Autor:
Kenta Kojin
Publikováno v:
Canadian Mathematical Bulletin. 66:218-224
This short note refines a noncommutative (nc) Oka–Weil theorem by using a characterization of free compact nc sets based on the notion of dilation hulls. A consequence of it is that any free holomorphic function can be represented as a free polynom
Autor:
Jarosław Mederski
Publikováno v:
Journal of Differential Equations. 281:411-441
We find a class of optimal Sobolev inequalities ( ∫ R N | ∇ u | 2 d x ) N N − 2 ≥ C N , G ∫ R N G ( u ) d x , u ∈ D 1 , 2 ( R N ) , N ≥ 3 , where the nonlinear function G : R → R of class C 1 satisfies general growth assumptions in th
Autor:
Bilender P. Allahverdiev, Hüseyin Tuna
Publikováno v:
Ukrainian Mathematical Journal. 72:671-689
We consider symmetric Dirac operators on bounded time scales. Under general boundary conditions, we describe extensions (dissipative, accumulative, self-adjoint, etc.) of these symmetric operators. We construct a self-adjoint dilation of the dissipat
Publikováno v:
Indagationes Mathematicae. 31:885-892
We study two subclasses of Banach limits: the one consisting of Banach limits which are invariant with respect of the Ces\`aro operator and another one consists of Banach limits which are invariant with respect to all dilations. We prove that the fir
Publikováno v:
Chinese Annals of Mathematics, Series B. 41:585-600
Inspired by some recent development on the theory about projection valued dilations for operator valued measures or more generally bounded homomorphism dilations for bounded linear maps on Banach algebras, the authors explore a pure algebraic version
Autor:
Stefania A. M. Marcantognini
Publikováno v:
Revista de la Unión Matemática Argentina. :145-160
The infinitesimal generator A of a strongly continuous semigroup on a Hilbert space is assumed to satisfy that Bβ := A−β is a sectorial operator of angle less than π 2 for some β ≥ 0. If Bβ is dissipative in some equivalent scalar product th
Autor:
Yun-Zhang Li, Wei Zhang
Publikováno v:
Science China Mathematics. 63:2423-2438
Wavelet and Gabor systems are based on translation-and-dilation and translation-and-modulation operators, respectively, and have been studied extensively. However, dilation-and-modulation systems cannot be derived from wavelet or Gabor systems. This
Autor:
Pengtong Li, Liang Li
Publikováno v:
Indian Journal of Pure and Applied Mathematics. 51:589-610
In this paper, we study the dilation of g-frame generators and the dual g-frame generators for an abstract wavelet system. By the semi-orthogonality of a special unitary system, we prove the dual g-frame generators can be dilated to a pair of dual g-
Autor:
Ruslan Salimov, Mariia V. Stefanchuk
Publikováno v:
Journal of Mathematical Sciences. 248:203-216
A power estimate of the area of the image of a disk for regular homeomorphisms possessing the Luzin N-property is obtained in terms of the p-angular dilation for p > 2. The result generalizes the known estimate by M.A. Lavrent’ev. A number of theor