Duality for frames in Krein spaces

被引：5

作者：

Ignacio Giribet, Juan ^{[1
,2
]}

Maestripieri, Alejandra ^{[1
,2
]}

Martinez Peria, Francisco ^{[1
,3
]}

机构：

[1] Inst Argentino Matemat Alberto P Calderon CONICET, Saavedra 15 C1083ACA, Buenos Aires, DF, Argentina

[2] Univ Buenos Aires, Fac Ingn, Av Paseo Colon 850 C1063ACV, Buenos Aires, DF, Argentina

[3] Univ Nacl La Plata, Dept Matemat, Fac Ciencias Exactas, CC 172,B1900ASK, La Plata, Buenos Aires, Argentina

来源：

MATHEMATISCHE NACHRICHTEN | 2018年 / 291卷 / 5-6期

关键词：

Frames; Krein spaces; signal processing; PROJECTIONS; OPERATORS;

D O I：

10.1002/mana.201700149

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A J-frame for a Krein space H is in particular a frame for H (in the Hilbert space sense). But it is also compatible with the indefinite inner-product of H, meaning that it determines a pair of maximal uniformly definite subspaces, an analogue to the maximal dual pair associated with an orthonormal basis in a Krein space. This work is devoted to study duality for J-frames in Krein spaces. Also, tight and Parseval J-frames are defined and characterized.

引用

页码：879 / 896

页数：18

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