J-Frame Sequences in Krein Space

2016/09/27 by Shibashis Karmakar, Karmakar, Shibashis, SK. Monowar Hossein +3
Mathematics · #46C20 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 42C15 #Secondary 46C05 #math.FA #msc:42C15 #msc:46C05 #msc:46C20

paper · pdf · doi:10.48550/arxiv.1609.08658

arxiv created 2016/09/27 · arxiv updated 2016/09/29

Abstract

Let \f_n:n∈ℕ\ be a J-frame for a Krein space \textbfK and P_M be a J-orthogonal projection from \textbfK onto a subspace M. In this article we find sufficient conditions under which \P_M(f_n):n∈ℕ\ is a J-frame for P_M\textbfK and \(I-P_M)f_n\_n∈ℕ is a J-frame for (I-P_M)\textbfK. We also introduce J-frame sequence for a Krein space \textbfK and study some properties of J-frame sequence analogues to Hilbert space frame theory.

Related

• Frames on Krein Spaces
• On J-frames related to maximal definite subspaces
• J-fusion frame for Krein spaces
• On a family of frames for Krein spaces
• Duality for Frames in Krein Spaces