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answer
8
Why is $D(x)$ periodic?
Dec 20, 2019
answer
6
Prove that every reflexive Banach space is weakly complete.
Apr 12, 2020
question
3
Does it exist a linear functional?
Dec 29, 2019
answer
3
Prove that the systems are orthonormal bases in the space $L_2[0, \pi]$.
Feb 11, 2023
answer
3
Why $x_n(t) = t^2 \sin^2(2 \pi n t)$ does not converges in $ \{x(t) \in L^1[0,1] \mid 0 \le x(t) \le t^2\} \subseteq L^1[0,1]$?
Nov 23, 2022
answer
3
Finding the dimension of the range of operator
Mar 1, 2020
answer
3
Eigenvalues and eigenvectors of integral operator
Nov 8, 2020
answer
3
How prove this $\left(\int_{-\pi}^{\pi}f(x)\sin{x}dx\right)^2+\left(\int_{-\pi}^{\pi}f(x)\cos{x}dx\right)^2\le\frac{\pi}{2}\int_{-\pi}^{+\pi}f^2(x)dx$
Dec 27, 2019
answer
3
$\sum\limits_{n\geq 0}\frac{1}{(n+1)(n+2)(n+3)}$ without using telescoping sums
Dec 29, 2019
answer
3
Closed bounded interval does not exist weak convergence subsequence in $L^1$
Jan 6, 2020