{"paper":{"title":"Tight J-frames in Krein space and the associated J-frame potential","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":"2016-09-27T20:45:49Z","abstract_excerpt":"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), {\\bf 393} (2012), 122--137.), we introduce the notion of $\\zeta-J$-tight frame for a Krein space $\\textbf{\\textit{K}}$. In this paper we characterize $J$-orthonormal basis for $\\textbf{\\textit{K}}$ in terms of $\\zeta-J$-Parseval frame. We show that a Krein space is richly supplied with $\\zeta-J$-Parseval frames. We also provide a necessary and suffi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.08659","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"}