MULTIPLIERS OF GENERALIZED FRAMES IN HILBERT SPACES

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RAHIMI A.

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ISSN: 2588-4824

Journal Paper

Paper Information

Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2011 | Volume:37 | Issue:1 Page(s): 63-80

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Title

MULTIPLIERS OF GENERALIZED FRAMES IN HILBERT SPACES

Author(s)

RAHIMI A. | Issue Writer Certificate

Keywords

FRAMES

G-FRAME

G-BESSEL

G-RIESZ BASE

G-ORTHONORMAL BASES

Abstract

In this paper, we introduce the concept of G-BESSEL multipliers which generalizes Bessel multipliers for G-BESSEL sequences and we study the properties of G-BESSEL multipliers when the symbol m Î l1, lp, l ¥. Also, we review the behavior of these operators when the parameters are changing.Furthermore, we show that equivalent g-FRAMES have equivalent multipliers and conversely. Finally, we specialize the results to fusion FRAMES.

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APA: Copy

RAHIMI, A.. (2011). MULTIPLIERS OF GENERALIZED FRAMES IN HILBERT SPACES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(1), 63-80. SID. https://sid.ir/paper/592862/en

Vancouver: Copy

RAHIMI A.. MULTIPLIERS OF GENERALIZED FRAMES IN HILBERT SPACES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(1):63-80. Available from: https://sid.ir/paper/592862/en

IEEE: Copy

A. RAHIMI, “MULTIPLIERS OF GENERALIZED FRAMES IN HILBERT SPACES,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 1, pp. 63–80, 2011, [Online]. Available: https://sid.ir/paper/592862/en

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