Paper Information

Title: 

GENERALIZED FRAMES INDEXED BY MEASURABLE SPACES

Type: PAPER
Author(s): ABD ELAHPOUR M.R.*
 
 *DEPARTMENT OF MATHEMATICS, UNIVERSITY OF MOHAGHEGH ARDABILI
 
Name of Seminar: SEMINAR ON MATHEMATICAL ANALYSIS AND ITS APPLICATIONS (SMAA18)
Type of Seminar:  CONFERENCE
Sponsor:  FACULTY OF MATHEMATICAL SCIENCES AND COMPUTER, TARBIAT MOALLEM UNIVERSITY
Date:  2009Volume 18
 
 
Abstract: 

We introduce the concept of generalized frames indexed by measurable spaces or continuous g-frames which is a generalization of discrete g-frames. We characterize the continuous g-frames and present a necessary and sufficient condition such that a family of operators indexed by a set endowed with a positive measure is a continuous g-frame.

 
Keyword(s): G-FRAME, CONTIGUOUS G-FRAME, CONTINUOUS G-BESSEL FAMILY
 
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