t.b.

On extended leave from the site. I visit occasionally, but irregularly, mostly without logging in. For the time being it is impossible to predict if and when I will find the time to contribute again.

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Does the open mapping theorem imply the Baire category theorem?

functional-analysis set-theory banach-spaces axiom-of-choice baire-category asked May 19 '12 at 3:33

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40 votes

Example of a compact set that isn't the spectrum of an operator

functional-analysis banach-spaces spectral-theory asked Apr 28 '11 at 14:32

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33 votes

Was Grothendieck familiar with Stone's work on Boolean algebras?

functional-analysis category-theory banach-spaces math-history tensor-products asked Aug 3 '11 at 18:16

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30 votes

Is there an explicit isomorphism between $L^\infty[0,1]$ and $\ell^\infty$?

reference-request functional-analysis banach-spaces axiom-of-choice asked Feb 17 '12 at 18:48

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Top Answers

Continuous bijection from $(0,1)$ to $[0,1]$

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What does “communicated by” mean in math papers?

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Was Grothendieck familiar with Stone's work on Boolean algebras?

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Finding Value of the Infinite Product $\prod \Bigl(1-\frac{1}{n^{2}}\Bigr)$

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$\int_{-\infty}^{+\infty} e^{-x^2} dx$ with complex analysis

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$f^3 + g^3=1$ for two meromorphic functions

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Norms Induced by Inner Products and the Parallelogram Law

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Is it possible for a function to be in $L^p$ for only one $p$?

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Quotient Space of Hausdorff space

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How to propose a conjecture

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Connections between metrics, norms and scalar products (for understanding e.g. Banach and Hilbert spaces)

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Norm for pointwise convergence

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Norms on C[0, 1] inducing the same topology as the sup norm

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Cauchy's Integral Formula for Cayley-Hamilton Theorem

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Finding the circles passing through two points and touching a circle

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Quadratic reciprocity via generalized Fibonacci numbers?

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How to define Homology Functor in an arbitrary Abelian Category?

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is the group of rational numbers the fundamental group of some space?

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The Duals of $l^\infty$ and $L^{\infty}$

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What is the origin of the expression “Yoneda Lemma”?

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Decomposition of a manifold

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examples of measurable functions on $\mathbb{R}$

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Medial Limit of Mokobodzki (case of Banach Limit)

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Questions about open sets in ${\mathbb R}$

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Hom is a left-exact functor

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Looking for an André Weil excerpt

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Do there exist groups whose elements of finite order do not form a subgroup?

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Lipschitz at every point in $[a,b]$ but not Lipschitz on $[a,b]$?

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Proof: $X^\ast$ separable $\implies X$ separable

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How to prove Halmos’s Inequality

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