Frame theory is an exciting, dynamic and fast paced subject with applications in numerous fields of mathematics and engineering. In this paper we study Integral Frame and introduce Integral Frame with C * -valued bounds. Also, we establich some properties.Date: * Corresponding author. 2010 Mathematics Subject Classification. 41A58, 42C15. Key words and phrases. Integral Frame, * -Integral Frame, C * -algebra, Hilbert C * -modules.
Frame theory has been rapidly generalized and various generalizations have been developed. In this paper, we present a brief survey of the frames in Hilbert C*-modules, including frames, *-frames, g-frames, *-g-frames, *-K-g-frame, operator frame, and *-K-operator in Hilbert C*-modules. Various proofs are given for some results. We will also provide some new results. Moreover, non-trivial examples are presented.
Mathematics Subject Classification (2010). Primary: 42C15; Secondary: 47A05.
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