J-fusion frame operator for Krein spaces

Autor:	Karmakar, Shibashis
Rok vydání:	2018
Předmět:	Mathematics - Functional Analysis Primary 42C15 Secondary 46C05 46C20
Druh dokumentu:	Working Paper
Popis:	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 bounds of the synthesis operator. Then, we obtain the $J$-fusion frame bounds of the cannonical $J$-dual fusion frame. Finally, we address the problem of characterizing those bounded linear operators in $\mathbb{K}$ for which the image of $J$-fusion frame is also a $J$-fusion frame. Comment: arXiv admin note: text overlap with arXiv:1611.01339
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1812.07391 Zobrazit plný text záznamu View this record from Arxiv