Functional Ghobber-Jaming uncertainty principle
KM Krishna - arXiv preprint arXiv:2306.01014, 2023 - arxiv.org
Let $(\{f_j\} _ {j= 1}^ n,\{\tau_j\} _ {j= 1}^ n) $ and $(\{g_k\} _ {k= 1}^ n,\{\omega_k\} _ {k= 1}^ n)
$ be two p-orthonormal bases for a finite dimensional Banach space $\mathcal {X} $. Let …
$ be two p-orthonormal bases for a finite dimensional Banach space $\mathcal {X} $. Let …
New identity on Parseval p-approximate Schauder frames and applications
K Mahesh Krishna, P Sam Johnson - Journal of Interdisciplinary …, 2021 - Taylor & Francis
A very useful identity for Parseval frames for Hilbert spaces was obtained by Balan,
Casazza, Edidin, and Kutyniok. In this paper, we obtain a similar identity for Parseval p …
Casazza, Edidin, and Kutyniok. In this paper, we obtain a similar identity for Parseval p …
Group-frames for Banach spaces
KM Krishna - arXiv preprint arXiv:2305.01499, 2023 - arxiv.org
In the literature, frames generated by unitary representations of groups (known as group-
frames) are studied only for Hilbert spaces. We make first study of frames for Banach spaces …
frames) are studied only for Hilbert spaces. We make first study of frames for Banach spaces …
Discrete and continuous Welch bounds for Banach spaces with applications
KM Krishna - arXiv preprint arXiv:2201.00980, 2022 - arxiv.org
Let $\{\tau_j\} _ {j= 1}^ n $ be a collection in a finite dimensional Banach space $\mathcal {X}
$ of dimension $ d $ and $\{f_j\} _ {j= 1}^ n $ be a collection in $\mathcal {X}^* $(dual of …
$ of dimension $ d $ and $\{f_j\} _ {j= 1}^ n $ be a collection in $\mathcal {X}^* $(dual of …
Dilation theorem for p-approximate Schauder frames for separable Banach spaces
KM Krishna, PS Johnson - arXiv preprint arXiv:2011.12188, 2020 - arxiv.org
Famous Naimark-Han-Larson dilation theorem for frames in Hilbert spaces states that every
frame for a separable Hilbert space $\mathcal {H} $ is image of a Riesz basis under an …
frame for a separable Hilbert space $\mathcal {H} $ is image of a Riesz basis under an …
Feichtinger Conjectures, -Conjectures and Weaver's Conjectures for Banach spaces
KM Krishna - arXiv preprint arXiv:2201.00125, 2022 - arxiv.org
Motivated from two decades old famous Feichtinger conjectures for frames, $ R_\varepsilon
$-conjecture and Weaver's conjecture for Hilbert spaces (and their solution by Marcus …
$-conjecture and Weaver's conjecture for Hilbert spaces (and their solution by Marcus …
Paulsen and projection problems for Banach spaces
KM Krishna - arXiv preprint arXiv:2201.00991, 2022 - arxiv.org
arXiv:2201.00991v1 [math.FA] 4 Jan 2022 Page 1 arXiv:2201.00991v1 [math.FA] 4 Jan 2022
PAULSEN AND PROJECTION PROBLEMS FOR BANACH SPACES K. MAHESH KRISHNA …
PAULSEN AND PROJECTION PROBLEMS FOR BANACH SPACES K. MAHESH KRISHNA …
Functional Kuppinger-Durisi-B\"{o} lcskei Uncertainty Principle
KM Krishna - arXiv preprint arXiv:2402.04255, 2024 - arxiv.org
Let $\mathcal {X} $ be a Banach space. Let $\{\tau_j\} _ {j= 1}^ n,\{\omega_k\} _ {k= 1}^
m\subseteq\mathcal {X} $ and $\{f_j\} _ {j= 1}^ n $, $\{g_k\} _ {k= 1}^ m\subseteq\mathcal …
m\subseteq\mathcal {X} $ and $\{f_j\} _ {j= 1}^ n $, $\{g_k\} _ {k= 1}^ m\subseteq\mathcal …
Unexpected Uncertainty Principle for Disc Banach Spaces
KM Krishna - arXiv preprint arXiv:2404.00910, 2024 - arxiv.org
Let $(\{f_n\} _ {n= 1}^\infty,\{\tau_n\} _ {n= 1}^\infty) $ and $(\{g_n\} _ {n= 1}^\infty,\{\omega_n\}
_ {n= 1}^\infty) $ be unbounded continuous p-Schauder frames ($0< p< 1$) for a disc …
_ {n= 1}^\infty) $ be unbounded continuous p-Schauder frames ($0< p< 1$) for a disc …
Approximately dual p-approximate Schauder frames
KM Krishna, PS Johnson - arXiv preprint arXiv:2110.10121, 2021 - arxiv.org
Difficulty in the construction of dual frames for a given Hilbert space led to the introduction of
approximately dual frames in Hilbert spaces by Christensen and Laugesen. It becomes even …
approximately dual frames in Hilbert spaces by Christensen and Laugesen. It becomes even …