Continuous frame in Hilbert spaces
In this paper we introduce a mean of a continuous frame which is a generalization of
discrete frames. Since a discrete frame is a special case of these frames, we expect that …
discrete frames. Since a discrete frame is a special case of these frames, we expect that …
Multipliers for continuous frames in Hilbert spaces
In this paper, we examine the general theory of continuous frame multipliers in Hilbert
space. These operators are a generalization of the widely used notion of (discrete) frame …
space. These operators are a generalization of the widely used notion of (discrete) frame …
Frames and semi-frames
JP Antoine, P Balazs - Journal of Physics A: Mathematical and …, 2011 - iopscience.iop.org
Loosely speaking, a semi-frame is a generalized frame for which one of the frame bounds is
absent. More precisely, given a total sequence in a Hilbert space, we speak of an upper …
absent. More precisely, given a total sequence in a Hilbert space, we speak of an upper …
Some identities and inequalities for Hilbert–Schmidt frames
A Poria - Mediterranean Journal of Mathematics, 2017 - Springer
Some Identities and Inequalities for Hilbert–Schmidt Frames Page 1 Mediterr. J. Math. (2017)
14:59 DOI 10.1007/s00009-017-0866-1 1660-5446/17/020001-14 published online March 3 …
14:59 DOI 10.1007/s00009-017-0866-1 1660-5446/17/020001-14 published online March 3 …
von Neumann–Schatten frames in separable Banach spaces
G Sadeghi, A Arefijamaal - Mediterranean journal of mathematics, 2012 - Springer
Von Neumann–Schatten Frames in Separable Banach Spaces Page 1 Mediterr. J. Math. 9 (2012),
525–535 DOI 10.1007/s00009-011-0132-x 1660-5446/12/030525-11, published online …
525–535 DOI 10.1007/s00009-011-0132-x 1660-5446/12/030525-11, published online …
Some relations between continuous generalized frames
Generalized frames are natural generalizations of frames. The computation of distances
between frames is a crucial concept in frame theory. In this paper we give some basic …
between frames is a crucial concept in frame theory. In this paper we give some basic …
Reproducing pairs and the continuous nonstationary Gabor transform on LCA groups
M Speckbacher, P Balazs - Journal of Physics A: Mathematical …, 2015 - iopscience.iop.org
In this paper we introduce and investigate the concept of reproducing pairs as a
generalization of continuous frames. Reproducing pairs yield a bounded analysis and …
generalization of continuous frames. Reproducing pairs yield a bounded analysis and …
Injective continuous frames and quantum detections
D Han, Q Hu, R Liu - Banach Journal of Mathematical Analysis, 2021 - Springer
A quantum injective frame is a frame that can be used to distinguish density operators
(states) from their frame measurements, and the frame quantum detection problem asks to …
(states) from their frame measurements, and the frame quantum detection problem asks to …
Continuous ⁎‐K‐G‐Frame in Hilbert C⁎‐Modules
Continuous ⁎‐K‐G‐Frame in Hilbert C⁎‐Modules Page 1 Research Article Continuous ∗-KG-Frame
in Hilbert 𝐶∗ -Modules Mohamed Rossafi ,1 Abdeslam Touri,1 Hatim Labrigui,1 and Abdellatif …
in Hilbert 𝐶∗ -Modules Mohamed Rossafi ,1 Abdeslam Touri,1 Hatim Labrigui,1 and Abdellatif …
Approximation of the inverse frame operator and stability of Hilbert–Schmidt frames
A Poria - Mediterranean Journal of Mathematics, 2017 - Springer
In this paper, we study the Hilbert–Schmidt frame (HS-frame) theory for separable Hilbert
spaces. We first present some characterizations of HS-frames and prove that HS-frames …
spaces. We first present some characterizations of HS-frames and prove that HS-frames …