Zobrazeno 1 - 10
of 18
pro vyhledávání: '"46C05, 46C20"'
Autor:
Erceg, Marko, Soni, Sandeep Kumar
Publikováno v:
Communications on Pure and Applied Analysis, 21(10) (2022) 3499-3527
The theory of abstract Friedrichs operators, introduced by Ern, Guermond and Caplain (2007), proved to be a successful setting for studying positive symmetric systems of first order partial differential equations (Friedrichs, 1958), nowadays better k
Externí odkaz:
http://arxiv.org/abs/2201.11426
Various norms can be defined on a Krein space by choosing different underlying fundamental decompositions. Some estimates of norms on Krein spaces are discussed and few results in Bognar's paper are generalized.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/2011.03793
Autor:
Karmakar, Shibashis
In this article we find a necessary and sufficient condition under which a given collection of subspace is a $J$-fusion frame for a Krein space $\mathbb{K}$. We also approximate $J$-fusion frame bounds of a $J$-fusion frame by the upper and lower bou
Externí odkaz:
http://arxiv.org/abs/1812.07391
Publikováno v:
Advances in Operator Theory, 2017
In this paper we characterize $\sqrt{2}$-1-uniform $J$-Parseval fusion frames in a Krein space $\mathbb{K}$. We provide a few results regarding construction of new $J$-tight fusion frame from given $J$-tight fusion frames. We also characterize any un
Externí odkaz:
http://arxiv.org/abs/1612.00431
Autor:
Karmakar, Shibashis
In this article we introduce the notion of $J$-fusion frame for a Krein space $\mathbb{K}$. We relate this new concept with fusion frames for Hilbert spaces and also with $J$-frames for Krein spaces. We also approximate $J$-fusion frame bounds of a $
Externí odkaz:
http://arxiv.org/abs/1611.01339
Let $\{f_n:n\in\mathbb{N}\}$ be a $J$-frame for a Krein space ${\textbf{\textit{K}}}$ and $P_M$ be a $J$-orthogonal projection from ${\textbf{\textit{K}}}$ onto a subspace $M$. In this article we find sufficient conditions under which $\{P_M(f_n):n\i
Externí odkaz:
http://arxiv.org/abs/1609.08658
Publikováno v:
IJMA, Vol.10, 2016, no.19, 917-931
Motivated by the idea of $J$-frame for a Krein space $\textbf{\textit{K}}$, introduced by Giribet \textit{et al.} (J. I. Giribet, A. Maestripieri, F. Mart\'inez Per\'{i}a, P. G. Massey, \textit{On frames for Krein spaces}, J. Math. Anal. Appl. (1), {
Externí odkaz:
http://arxiv.org/abs/1609.08659
In this article we define frame for a Krein space K with a J-orthonormal basis and extend the notion of frame sequence and frame potential analogous to Hilbert spaces.We show that every frame is a sum of three orthonormal bases of a Krein space. We a
Externí odkaz:
http://arxiv.org/abs/1406.6205
A definition of frames in Krein spaces is stated and a complete characterization is given by comparing them to frames in the associated Hilbert space. The basic tools of frame theory are described in the formalism of Krein spaces. It is shown how to
Externí odkaz:
http://arxiv.org/abs/1304.2450
Autor:
Marko Erceg, Sandeep Kumar Soni
Publikováno v:
Communications on Pure and Applied Analysis. 21:3499
The theory of abstract Friedrichs operators, introduced by Ern, Guermond and Caplain (2007), proved to be a successful setting for studying positive symmetric systems of first order partial differential equations (Friedrichs, 1958), nowadays better k