Frames in quaternionic Hilbert spaces

SK Sharma, S Goel - arXiv preprint arXiv:1705.04926, 2017 - arxiv.org
In this paper, we introduce and study the frames in separable quaternionic Hilbert spaces.
Results on the existence of frames in quaternionic Hilbert spaces have been given. Also, a …

[HTML][HTML] Quantum injectivity of frames in quaternionic Hilbert spaces

Z Xu, G Hong, Z Guo, J Zhang - Mathematics, 2024 - mdpi.com
A quantum injective frame is a frame capable of differentiating states based on their
respective frame measurements, whereas the quantum-detection problem associated with …

Some Properties of Operator Valued Frames in Quaternionic Hilbert Spaces

G Hong, P Li - Mathematics, 2022 - mdpi.com
Quaternionic Hilbert spaces play an important role in applied physical sciences especially in
quantum physics. In this paper, the operator valued frames on quaternionic Hilbert spaces …

Trace class operators via OPV-frames

R Bhardwaj, SK Sharma, SK Kaushik - Filomat, 2021 - doiserbia.nb.rs
Trace class operators for quaternionic Hilbert spaces (QHS) were studied by Moretti and
Oppio [18]. In this paper, we study trace class operators via operator valued frames (OPV …

Woven Frames in Quaternionic Hilbert Spaces

SK Sharma, N Sharma, KT Poumai - Journal of Mathematics, 2021 - Wiley Online Library
In this paper, we introduce and study woven frames in quaternionic Hilbert spaces. We also
give some properties of woven frames and give some conditions on family of frames under …

Frame of Operators in quaternionic Hilbert spaces

SK Sharma, AM Jarrah, SK Kaushik - arXiv preprint arXiv:2003.00546, 2020 - arxiv.org
In this paper, we introduce and study frame of operators in quaternionic Hilbert spaces as a
generalization of g frames which in turn generalized various notions like Pseduo frames …

[PDF][PDF] ON FRAMES IN FINITE DIMENSIONAL QUATERNIONIC HILBERT SPACE.

SK Sharma, G Singh, S Sahu - Palestine Journal of Mathematics, 2020 - pjm.ppu.edu
ON FRAMES IN FINITE DIMENSIONAL QUATERNIONIC HILBERT SPACE Page 1 Palestine
Journal of Mathematics Vol. 9(1)(2020) , 511–522 © Palestine Polytechnic University-PPU 2020 …

Duals of a frame in quaternionic Hilbert spaces

SK Sharma, G Singh, S Sahu - arXiv preprint arXiv:1803.05773, 2018 - arxiv.org
Frames in a separable quaternionic Hilbert space were introduced and studied in [17] to
have more applications. In this paper, we extend the study of frames in quaternionic Hilbert …

[PDF][PDF] Some results on frames by pre-frame operators in Q-Hilbert spaces

YL Fu, W Zhang - AIMS Mathematics, 2023 - aimspress.com
Quaternionic Hilbert (Q-Hilbert) spaces are frequently used in applied physical sciences and
especially in quantum physics. In order to solve some problems of many nonlinear physical …

Duality and Sum on frames in Q-Hilbert spaces

YL Fu, XZ Xu - 2023 - researchsquare.com
Quaternionic Hilbert space has received great attention in the research of quantum physics.
The duality and sum of frames are hot issues in frame theory. In this paper, We firstly …