What is the dual space of $C([0,T];X)$ ($X$ Hilbert space)?
126115
Riesz representation and vector-valued functions
83360
The completion of a separable inner product space is a separable Hilbert space
7345
Is $C[0,1]$ a Banach space for the $L^1$ norm?
90757
$T$ self-adjoint on Hilbert space $H$, $T^n=T^{n+1}$ will $T$ be an orthogonal projection operator?
64840
A Banach space that is not a Hilbert space
30569
Prove that the only operator on $\mathbb{C}$ for which his inner product is zero is zero
111128
The Duals of $l^\infty$ and $L^{\infty}$
154625
$\operatorname{span}(x^0, x^1, x^2,\cdots)$ and the vector space of all real valued continuous functions on $\Bbb R$
120766
Prove ${y_n}$ is a basis for a Hilbert space $H$.
69893
An inner product space and its proper closed subspace with trivial orthogonal complement
38584
$T\colon L^2[0,1] \to L^2[0,1]$ be a bounded linear map of Hilbert spaces such that if $f\in L^2[0,1]$ is continuous then so is $Tf$.
114510
Inner Product Spaces
14084
The Multiplier Algebra of the Hardy Hilbert Space
12212
Showing a certain subspace of Hilbert space is dense
82464
$U^*\otimes V$ versus $L(U,V)$ for infinite dimensional spaces
18839
Proof about inner product space $\vert \langle x,y\rangle \vert=\Vert x \Vert\Vert y \Vert$
125982
If the dual spaces are isometrically isomorphic are the spaces isomorphic?