K. M. Krishna

activity

20182023

most citedDiscrete and Continuous Welch Bounds for Banach Spaces with Applications

14 citations · 56 across the 37 of their papers we have counts for

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Showing 2023Show all

8 papers · 1 filter

math.FA2023★ 2 cited

Functional Deutsch Uncertainty Principle

K. Mahesh Krishna

Let ${f_{j}}_{j = 1}^{n}$ and ${g_{k}}_{k = 1}^{m}$ be Parseval p-frames for a finite dimensional Banach space $X$ . Then we show that \begin{align} (1) \quad\quad\quad\quad \log…

math.FA2023

Functional Continuous Uncertainty Principle

K. Mahesh Krishna

Let $(Ω, μ)$ , $(Δ, ν)$ be measure spaces. Let $({f_{α}}_{α \in Ω}, {τ_{α}}_{α \in Ω})$ and $({g_{β}}_{β \in Δ}, {ω_{β}}_{β \in Δ})$ be continuous p-Schauder frames for a Banach space $…

math.FA2023

Functional Donoho-Stark Approximate Support Uncertainty Principle

K. Mahesh Krishna

Let $({f_{j}}_{j = 1}^{n}, {τ_{j}}_{j = 1}^{n})$ and $({g_{k}}_{k = 1}^{n}, {ω_{k}}_{k = 1}^{n})$ be two p-orthonormal bases for a finite dimensional Banach space $X$ . If $ x \in \mathca…

math.FA2023

Functional Ghobber-Jaming Uncertainty Principle

K. Mahesh Krishna

Let $({f_{j}}_{j = 1}^{n}, {τ_{j}}_{j = 1}^{n})$ and $({g_{k}}_{k = 1}^{n}, {ω_{k}}_{k = 1}^{n})$ be two p-orthonormal bases for a finite dimensional Banach space $X$ . Let $M,N\subseteq…

math.FA2023★ 1 cited

Group-Frames for Banach Spaces

K. Mahesh Krishna

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 space…

math.FA2023★ 5 cited

Functional Donoho-Stark-Elad-Bruckstein-Ricaud-Torrésani Uncertainty Principle

K. Mahesh Krishna

Let $({f_{j}}_{j = 1}^{n}, {τ_{j}}_{j = 1}^{n})$ and $({g_{k}}_{k = 1}^{m}, {ω_{k}}_{k = 1}^{m})$ be p-Schauder frames for a finite dimensional Banach space $X$ . Then for every $x \in \m…

math.FA2023

Absolutely Summing Morphisms between Hilbert C*-Modules and Modular Pietsch Factorization Problem

K. Mahesh Krishna

Motivated from the theory of Hilbert-Schmidt morphisms between Hilbert C*-modules over commutative C*-algebras by Stern and van Suijlekom \textit{[J. Funct. Anal., 2021]}, we intro…

math.FA2023

Localized Bounded Below Approximate Schauder Frames are Finite Unions of Approximate Riesz Sequences

K. Mahesh Krishna

Based on the truth of Feichtinger conjecture by Marcus, Spielman and Srivastava \textit{[Ann. of Math. (2), 2015]} and from the localized version by Gröchenig \textit{[Adv. Comput.…