A question about linear continous operators
72240
Prove that if a linear operator is continuous, then it is bounded.
119831
bounded operator $T$ is not compact then there exists an orthonormal sequence $e_n$ and $d>0$ such that $\|T(e_n)\|>d$ for all $n\in\Bbb{N}$?
144048
Linear Operators satisfying $S^n=0$ but $S^{n-1}\neq 0$
119684
Is a contraction idempotent operator self-adjoint?
45130
Cyclic vector implies commuting linear operator is a polynomial
28731
Banach space in functional analysis
2635
equality of two operators...
99942
A normal, idempotent linear operator must be self-adjoint
98535
Are eigenstates of the position operator continuous?
28719
Question about Angle-Preserving Operators
28685
If every linear operator on $X$ is bounded then is $\dim X<\infty$?
66299
Operator whose spectrum is given compact set
116751
Question about Fredholm operator
135650
Sequences in Hilbert spaces
8805
Bounded linear operators that commute with translation
61931
Positive operator is bounded
157269
If $\alpha_{1},\ldots,\alpha_{m}$ are vectors different from zero vector, then there is a linear functional $f$ such that $f(\alpha_{i})\neq 0$