61

Answers

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1

Notable mathematics during World War II

3

Is there a nice application of category theory to functional/complex/harmonic analysis?

4

Is there a good reason why a^{2b} + b^{2a} <= 1 when a+b=1?

2

Riemannian surfaces with an explicit distance function?

1

Why is the Gaussian so pervasive in mathematics?

4

Dual of bounded uniformly continuous functions

3

Fixed point theorems (2)

6

Is this a $C^{\infty}$ function ?

2

Can you tell whether a space is Banach from the unit ball?

0

Notions of convergence not corresponding to topologies

2

Newton equations, second order equation and (im)possible motions

1

Instances where an existence result precedes the constructive version

1

Catenary curve under non-uniform gravitational field

4

2- and 3-body problems when gravity is not inverse-square

3

Which is the correct ring of functions for a topological space?

3

Characterizing specific “concrete” mathematical objects by abstract general properties

2

Topology on the space of Schwartz Distributions

1

Measurable functions and unbounded operators in von Neumann algebras

3

functional subrings

3

Topological characterization of the closed interval $[0,1]$.

5

fourier analytic proofs

3

Measure theory treatment geared toward the Riesz representation theorem

12

Does there exist an isometry between $L^p$ and $l^p$?

4

Gelfand representation and functional calculus applications beyond Functional Analysis

7

Does the derivative of log have a Dirac delta term?

0

Unit sphere in R^\infty is contractible?

3

the dual space of C(X) (X is noncompact metric space)

4

Measures on general topological groups

2

Quotient rings of $C(X)$

4

An example of a non-paracompact tvs (over the reals, say)