SOME RESULTS ON CONTROLLED FRAMES IN HILBERT SPACES

doi:10.1016/S0252-9602(16)30029-7

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (3): 655-665.doi: 10.1016/S0252-9602(16)30029-7

SOME RESULTS ON CONTROLLED FRAMES IN HILBERT SPACES

Kamran MUSAZADEH, Hassan KHANDANI

Department of Mathematics, College of Science, Mahabad Branch, Islamic Azad University, Mahabad, Iran

收稿日期:2015-06-25 出版日期:2016-06-25 发布日期:2016-06-25
通讯作者: Kamran MUSAZADEH,E-mail:kamran_ms2004@yahoo.com E-mail:kamran_ms2004@yahoo.com
作者简介:Hassan KHANDANI,E-mail:khandani.hassan@yahoo.com
基金资助:
Supported by IAU-Mahabad branch (51663931105001).

SOME RESULTS ON CONTROLLED FRAMES IN HILBERT SPACES

Kamran MUSAZADEH, Hassan KHANDANI

Department of Mathematics, College of Science, Mahabad Branch, Islamic Azad University, Mahabad, Iran

Received:2015-06-25 Online:2016-06-25 Published:2016-06-25
Contact: Kamran MUSAZADEH,E-mail:kamran_ms2004@yahoo.com E-mail:kamran_ms2004@yahoo.com
Supported by:
Supported by IAU-Mahabad branch (51663931105001).

摘要/Abstract

摘要：

We use two appropriate bounded invertible operators to define a controlled frame with optimal frame bounds. We characterize those operators that produces Parseval controlled frames also we state a way to construct nearly Parseval controlled frames. We introduce a new perturbation of controlled frames to obtain new frames from a given one. Also we reduce the distance of frames by appropriate operators and produce nearly dual frames from two given frames which are not dual frames for each other.

关键词: frames, Parseval frames, dual frames, controlled frames, reconstruction formula, perturbation

Abstract:

Key words: frames, Parseval frames, dual frames, controlled frames, reconstruction formula, perturbation

中图分类号:

94A12

Kamran MUSAZADEH, Hassan KHANDANI. SOME RESULTS ON CONTROLLED FRAMES IN HILBERT SPACES[J]. 数学物理学报(英文版), 2016, 36(3): 655-665.

Kamran MUSAZADEH, Hassan KHANDANI. SOME RESULTS ON CONTROLLED FRAMES IN HILBERT SPACES[J]. Acta mathematica scientia,Series B, 2016, 36(3): 655-665.

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SOME RESULTS ON CONTROLLED FRAMES IN HILBERT SPACES

SOME RESULTS ON CONTROLLED FRAMES IN HILBERT SPACES

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