نتایج جستجو برای: hilbert schmidt operator

تعداد نتایج: 122793  

Journal: :bulletin of the iranian mathematical society 0
m. s. moslehian ferdowsi university of mashhad j. e. pecaric university of zagreb i. peric university of zagreb

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2007
A. Arias

A Banach space X has the 2-summing property if the norm of every linear operator from X to a Hilbert space is equal to the 2-summing norm of the operator. Up to a point, the theory of spaces which have this property is independent of the scalar eld: the property is self-dual and any space with the property is a nite dimensional space of maximal distance to the Hilbert space of the same dimensio...

Journal: :Stochastic Analysis and Applications 2022

Regularity estimates for an integral operator with a symmetric continuous kernel on convex bounded domain are derived. The covariance of mean-square random field the is example such operator. form Hilbert--Schmidt norms and its square root, composed fractional powers elliptic equipped homogeneous boundary conditions either Dirichlet or Neumann type. These types estimates, which couple regularit...

Journal: :Indagationes Mathematicae 2022

Current work defines Schmidt representation of a bilinear operator T:H1×H2→K, where H1,H2 and K are separable Hilbert spaces. Introducing the concept singular value ordered value, we prove that if T is compact, its values ordered, then has on real We hypothesis existence fundamental.

1994
A. Arias T. Figiel W. B. Johnson G. Schechtman

A Banach space X has the 2-summing property if the norm of every linear operator from X to a Hilbert space is equal to the 2-summing norm of the operator. Up to a point, the theory of spaces which have this property is independent of the scalar field: the property is self-dual and any space with the property is a finite dimensional space of maximal distance to the Hilbert space of the same dime...

2007
Seddik M. Djouadi Yanyan Li

In this paper, we consider the robust stabilization problem for linear time varying (LTV) systems using the gap metric. In particular, we show that the time varying (TV) directed gap reduces to an operator with a TV Hankel plus Toeplitz structure. Computation of the norm of such an operator can be carried out using an iterative scheme involving a TV Hankel operator defined on a space of Hilbert...

Journal: :Journal of Fourier Analysis and Applications 2022

Abstract We give a new class of equivalent norms for modulation spaces by replacing the window short-time Fourier transform Hilbert–Schmidt operator. The main result is applied to Cohen’s time-frequency distributions, Weyl operators and localization operators. In particular, any positive distribution with Schwartz kernel can be used an norm spaces. also obtain description as Wiener amalgam oper...

In this paper, we considered composition operators on weighted Hilbert spaces of analytic functions and  observed that a formula for the  essential norm, gives a Hilbert-Schmidt characterization and characterizes the membership in Schatten-class for these operators. Also, closed range composition operators  are investigated.

2016
Povilas Daniušis Pranas Vaitkus Linas Petkevičius

We propose a feature extraction algorithm, based on the Hilbert–Schmidt independence criterion (HSIC) and the maximum dependence – minimum redundancy approach. Experiments with classification data sets demonstrate that suggested Hilbert–Schmidt component analysis (HSCA) algorithm in certain cases may be more efficient than other considered approaches.

‎Some improvements of Young inequality and its reverse for positive‎ ‎numbers with Kantorovich constant $K(t‎, ‎2)=frac{(1+t)^2}{4t}$‎ ‎are given‎. ‎Using these inequalities some operator inequalities and‎ ‎Hilbert-Schmidt norm versions for matrices are proved‎. ‎In‎ ‎particular‎, ‎it is shown that if $a‎, ‎b$ are positive numbers and‎ ‎$0 leqslant nu leqslant 1,$ then for all integers $ kgeqsl...

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