p-adic Grothendieck Inequality, p-adic Johnson-Lindenstrauss Flattening
 and p-adic Bourgain-Tzafriri Restricted Invertibility Problems

K. Mahesh Krishna

doi:10.48550/arxiv.2503.20972

March 25, 2025Open Access

p-adic Grothendieck Inequality, p-adic Johnson-Lindenstrauss Flattening and p-adic Bourgain-Tzafriri Restricted Invertibility Problems

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Key Points

The p-adic grothendieck inequality could reshape our understanding of functional analysis, offering new insights.
Formulating the p-adic johnson-lindenstrauss flattening lemma presents potential applications in high-dimensional geometry.
The p-adic bourgain-tzafriri restricted invertibility theorem highlights connections between convexity and linear transformations.
These formulations may lead to advancements in combinatorial geometry and number theory.

Implication

This work formulates p-adic versions of Grothendieck inequality and Johnson-Lindenstrauss lemma, suggesting implications for restricted invertibility.

Abstract

We formulate p-adic versions of following three: (1) Grothendieck Inequality, (2) Johnson-Lindenstrauss Flattening Lemma, (3) Bourgain-Tzafriri Restricted Invertibility Theorem.

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Cite This Study

K. Mahesh Krishna (2025) studied this question.

synapsesocial.com/papers/68ec384042a190b2c3519af2 https://doi.org/10.48550/arxiv.2503.20972

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p-adic Grothendieck Inequality, p-adic Johnson-Lindenstrauss Flattening and p-adic Bourgain-Tzafriri Restricted Invertibility Problems

Key Points

Implication

Abstract

Discussion

Cite This Study

p-adic Grothendieck Inequality, p-adic Johnson-Lindenstrauss Flattening and p-adic Bourgain-Tzafriri Restricted Invertibility Problems

Key Points

Implication

Abstract

Discussion

Cite This Study

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