Bounded Linear Functional Extension Theorem for finite dimensional space
57609
Hahn-Banach proof by extension of basis
18942
An equivalent definition of uniform integrability
97994
Orthogonality Relations Exercise, Brezis' Book Functional Analysis
142014
study of subspace generated by $f_k(x)=f(x+k)$ with f continuous, bounded..
146839
Orthogonal Projection onto the $ {L}_{\infty} $ Unit Ball
124861
The extension of smooth function
140813
How do i prove that continuous linear transformation between normed spaces is bounded?
84890
Extremising a functional with conditions
84448
Any positive linear functional $\phi$ on $\ell^\infty$ is a bounded linear operator and has $\|\phi \| = \phi((1,1,...)) $
143674
Space of bounded functions is complete
143517
Isomorphisms Between a Finite-Dimensional Vector Space and its Dual
78344
Nonconstant linear functional on a topological vector space is an open mapping
140212
Prove that there exists a unique linear map that extends the map from a basis
127795
$L^1(μ)$ is finite dimensional if it is reflexive
154762
Dual space of a finite dimensional normed space
18195
Understanding of the theorem that all norms are equivalent in finite dimensional vector spaces
125073
Finite-dimensional subspaces of normed vector spaces are direct summands