Author: Lyantse W.E. Kudryk T.S.
Publisher: Springer Publishing Company
ISSN: 0037-4466
Source: Siberian Mathematical Journal, Vol.43, Iss.5, 2002-09, pp. : 868-881
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
The notions of nearstandardness and shadow are generalizations of convergence and limit respectively. There exist many useful variants of these notions. Here we collect some special aspects and properties of shadows and nearstandardness. This paper concerns the following: the shadows of a vector and an operator, weak, strong, and uniform nearstandardness, use of the Hilbert–Schmidt norm, properties of the map
Related content
Continuous Frames in Hilbert Space
By Ali S.T. Antoine J.P. Gazeau J.P.
Annals of Physics, Vol. 222, Iss. 1, 1993-02 ,pp. :
Hilbert-type inequalities for Hilbert space operators
By Krnić Mario
Quaestiones Mathematicae, Vol. 36, Iss. 2, 2013-06 ,pp. :
Quadratic Inequalities for Hilbert Space Operators
Integral Equations and Operator Theory, Vol. 59, Iss. 1, 2007-09 ,pp. :
On the Accuracy of Gaussian Approximation in Hilbert Space
By Nagaev S.V.
Acta Applicandae Mathematicae, Vol. 58, Iss. 1-3, 1999-09 ,pp. :