Can infinite-dimensional vector spaces be decomposed into direct sum of its subspaces?
4319
Vector space can be written as direct sum of subspaces
18921
Linear Transformations: Proving 1 dimensional subspace goes to 1 dimensional
53261
Show that Pn is an (n+1)-dimensional subspace
125073
Finite-dimensional subspaces of normed vector spaces are direct summands
76160
Dimension of the sum of two vector subspaces
86325
Is an increasing union of subspaces a subspace?
1799
How many k-dimensional subspaces there are in n-dimensional vector space over $\mathbb F_p$?
4151
Every subspace of a vector space has a complement
17495
Show that the vector space of all continuous real-valued functions is infinite-dimensional
91173
Finite-dimensional subspace normed vector space is closed
143517
Isomorphisms Between a Finite-Dimensional Vector Space and its Dual
141833
Is it possible to construct a quasi-vectorial space without an identity element?
133711
Orthogonal basis for infinite-dimensional vector spaces
35625
Direct sum of orthogonal subspaces
107389
Show that the vector space of real functions is not finitely spanned
110654
Vector Spaces and AC
151467
An infinite generating set of a finite dimensional vector space contains a basis