Some properties of g-p-frames in complex Banach spaces

Volume 10, Issue 7, pp 3930--3938 http://dx.doi.org/10.22436/jnsa.010.07.45

Publication Date: July 27, 2017 Submission Date: June 14, 2017

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Authors

Xiao Tan - School of Mathematics and Information Science, North Minzu University, Yin Chuan, 750021, China. Yongdong Huang - School of Mathematics and Information Science, North Minzu University, Yin Chuan, 750021, China.

Abstract

In this paper, we introduce the concept of dual frame of g-p-frame, and give the sufficient condition for a g-p-frame to have dual frames. Using operator theory and methods of functional analysis, we get some new properties of g-p-frame. In addition, we also characterize g-p-frame and g-q-Riesz bases by using analysis operator of g-p-Bessel sequence.

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ISRP Style

Xiao Tan, Yongdong Huang, Some properties of g-p-frames in complex Banach spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 7, 3930--3938

AMA Style

Tan Xiao, Huang Yongdong, Some properties of g-p-frames in complex Banach spaces. J. Nonlinear Sci. Appl. (2017); 10(7):3930--3938

Chicago/Turabian Style

Tan, Xiao, Huang, Yongdong. "Some properties of g-p-frames in complex Banach spaces." Journal of Nonlinear Sciences and Applications, 10, no. 7 (2017): 3930--3938

Keywords

g-p-frame
g-q-Riesz basis
dual frames
analysis operator.

MSC

42C15
42C40

References

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