K-frames for Krein spaces

被引：5

作者：

Mohammed, Atmani ^{[1
]}

Samir, Kabbaj ^{[1
]}

Bounader, Nourdine ^{[1
]}

机构：

[1] Univ Ibn Tofail, Dept Math, POB 133, Kenitra, Morocco

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2023年 / 14卷 / 01期

关键词：

K-frames; K-dual Bessel sequences; Krein spaces; Non-regular Gram operator;

D O I：

10.1007/s43034-022-00223-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this article is to give a definition of K-frames in Krein spaces. This definition is compatible with K-frames already known in Hilbert spaces and it generalizes them. We will characterize the K-frames by the synthesis operator and the frame operator, likewise to what is seen in the case of Hilbert spaces. In the rest of the article, we will set a definition of dual sequences and some results concerning this notion. Finally, we will demonstrate how to transfer K-frames for Hilbert spaces to Krein spaces arising from a possibly non-regular Gram operator.

引用

页数：20

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