{"paper":{"title":"J-Frame Sequences in Krein Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Kallol paul, Shibashis Karmakar, Sk. Monowar Hossein","submitted_at":"2016-09-27T20:38:19Z","abstract_excerpt":"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 $\\{P_M(f_n):n\\in\\mathbb{N}\\}$ is a $J$-frame for $P_M\\textbf{\\textit{K}}$ and $\\{(I-P_M)f_n\\}_{n\\in{\\mathbb{N}}}$ is a $J$-frame for $(I-P_M)\\textbf{\\textit{K}}$. We also introduce $J$-frame sequence for a Krein space ${\\textbf{\\textit{K}}}$ and study some properties of $J$-frame sequence analogues to Hilbert space frame theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.08658","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}