List questions from function-spaces | MathQa

Is possible to show that the linear operator $T(\varphi)(x) = \int_{V_x\cap M} \varphi(y)\text{d}y$ has spectral radius $>0$.

Published on 13 Jan 2025 - 5:54

Does the Hellinger distance generalize to a new class of function space norms?

Published on 13 Jan 2025 - 5:19

On "orthogonal families" in $C[0,1]$

Published on 12 Jan 2025 - 18:42

Difference quotient for Hölder continuous functions

Published on 13 Jan 2025 - 5:08

For 2 functions $f$ and $g$ in $E$, let $d(f,g) = \max\limits_{x \in [a,b]}|f(x)-g(x)|$. Prove that $(E,d)$ is a metric space.

Published on 13 Jan 2025 - 5:23

How to interpret domain of a function where the input is scalar to the power vector.

Published on 13 Jan 2025 - 5:21

Help understanding Reproducing Kernel Hilbert spaces?

Published on 13 Jan 2025 - 5:09

Help with exercise from Munkres's of general version of Arzela's Theorem

Published on 13 Jan 2025 - 5:17

Dense subset of $L^2(\Omega)$

Published on 12 Jan 2025 - 17:51

Compact Operator Improves Regularity in Function Spaces

Published on 13 Jan 2025 - 5:10