Redundancy, weaving and $Q$-dual of $K$-g-frames in Hilbert spaces

Xiang Chun Xiao; Guo Ping Zhao; Guorong Zhou

Makale detayları

Redundancy, weaving and $Q$-dual of $K$-g-frames in Hilbert spaces

Yazarlar:

Xiang Chun Xiao | Guo Ping Zhao | Guorong Zhou

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 3, pp.595-607

Belge Tipi:

Makale

Yayın Tarihi:

6/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001320021

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 In this paper we study exact K-g-frames, weaving of K-g-frames and Q-duals of g-frames in Hilbert spaces. We present a sufficient condition for a g-Bessel sequence to be an exact K-g-frame. Given two woven pairs Lambda, Gamma and Theta, Delta of K-g-frames, we investigate under what conditions Lambda can be K-g-woven with Delta if Gamma is K-g-woven with Theta. Given a K-g-frame Lambda and its dual Gamma on mathcalU, we construct a new pair based on Lambda and Gamma so that they are woven on a subspace RK of mathcalU. Finally, we characterize the Q-dual of g-frames using their induced sequences.

 In this paper we study exact K-g-frames, weaving of K-g-frames and Q-duals of g-frames in Hilbert spaces. We present a sufficient condition for a g-Bessel sequence to be an exact K-g-frame. Given two woven pairs Lambda, Gamma and Theta, Delta of K-g-frames, we investigate under what conditions Lambda can be K-g-woven with Delta if Gamma is K-g-woven with Theta. Given a K-g-frame Lambda and its dual Gamma on mathcalU, we construct a new pair based on Lambda and Gamma so that they are woven on a subspace RK of mathcalU. Finally, we characterize the Q-dual of g-frames using their induced sequences.

 In this paper we study exact K-g-frames, weaving of K-g-frames and Q-duals of g-frames in Hilbert spaces. We present a sufficient condition for a g-Bessel sequence to be an exact K-g-frame. Given two woven pairs Lambda, Gamma and Theta, Delta of K-g-frames, we investigate under what conditions Lambda can be K-g-woven with Delta if Gamma is K-g-woven with Theta. Given a K-g-frame Lambda and its dual Gamma on mathcalU, we construct a new pair based on Lambda and Gamma so that they are woven on a subspace RK of mathcalU. Finally, we characterize the Q-dual of g-frames using their induced sequences.

 In this paper we study exact K-g-frames, weaving of K-g-frames and Q-duals of g-frames in Hilbert spaces. We present a sufficient condition for a g-Bessel sequence to be an exact K-g-frame. Given two woven pairs Lambda, Gamma and Theta, Delta of K-g-frames, we investigate under what conditions Lambda can be K-g-woven with Delta if Gamma is K-g-woven with Theta. Given a K-g-frame Lambda and its dual Gamma on mathcalU, we construct a new pair based on Lambda and Gamma so that they are woven on a subspace RK of mathcalU. Finally, we characterize the Q-dual of g-frames using their induced sequences.

Makale detayları

Redundancy, weaving and $Q$-dual of $K$-g-frames in Hilbert spaces

Yazarlar: Xiang Chun Xiao | Guo Ping Zhao | Guorong Zhou

Yayıncı: Hacettepe University

Ana Başlıklar: Mathematical Sciences

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 3, pp.595-607

Belge Tipi: Makale

Yayın Tarihi: 6/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001320021

pISSN: 2651-477X

K-g-frame

exact K-g-frame

weaving

Q-dual

Sayı

Yazarlar:

Xiang Chun Xiao | Guo Ping Zhao | Guorong Zhou

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 3, pp.595-607

Belge Tipi:

Makale

Yayın Tarihi:

6/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001320021

pISSN:

2651-477X