W. Gowers

activity

19922026

most citedThe true complexity of a system of linear equations

90 citations · 591 across the 26 of their papers we have counts for

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Showing math.FAShow all

4 papers · 1 filter

math.FA2021★ 1 cited

A counterexample to a strengthening of a question of Milman

W. T. Gowers, K. Wyczesany

Let $∣ \cdot ∣$ be the standard Euclidean norm on $R^{n}$ and let $X = (R^{n}, ∥ \cdot ∥)$ be a normed space. A subspace $Y \subset X$ is \emph{strongly $α$ -Euclidean} if t…

math.FA2005

An infinite Ramsey theorem and some Banach-space dichotomies

W. T. Gowers

A problem of Banach asks whether every infinite-dimensional Banach space which is isomorphic to all its infinite-dimensional subspaces must be isomorphic to a separable Hilbert spa…

math.FA1994★ 5 cited

Banach spaces with small spaces of operators

W. T. Gowers, B. Maurey

For a certain class of algebras $A$ we give a method for constructing Banach spaces $X$ such that every operator on $X$ is close to an operator in $A$ . This is used to pr…

math.FA1992★ 75 cited

The unconditional basic sequence problem

W. T. Gowers, Bernard Maurey

We construct a Banach space that does not contain any infinite unconditional basic sequence.