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FINITE EXTENSIONS OF GENERALIZED BESSEL SEQUENCES TO GENERALIZED FRAMES

FINITE EXTENSIONS OF GENERALIZED BESSEL SEQUENCES TO GENERALIZED FRAMES
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摘要 The objective of this paper is to investigate the question of modifying a givengeneralized Bessel sequence to yield a generalized frame or a tight generalized frame by finiteextension. Some necessary and sufficient conditions for the finite extensions of generalizedBessel sequences to generalized frames or tight generalized frames are provided, and everyresult is illustrated by the corresponding example. The objective of this paper is to investigate the question of modifying a givengeneralized Bessel sequence to yield a generalized frame or a tight generalized frame by finiteextension. Some necessary and sufficient conditions for the finite extensions of generalizedBessel sequences to generalized frames or tight generalized frames are provided, and everyresult is illustrated by the corresponding example.
作者 Dengfeng LI Yanting LI 李登峰;李艳婷
出处 《Acta Mathematica Scientia》 SCIE CSCD 2018年第6期1939-1950,共12页 数学物理学报(B辑英文版)
基金 partially supported by the National Natural Science Foundation of China(61471410)
关键词 FRAME generalized frame generalized Bessel sequence frame generalized frame generalized Bessel sequence
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