Explicit example of two non-isomorphic Hilbert spaces with the same algebraic dimension
73790
Are two Hilbert spaces with the same algebraic dimension (their Hamel bases have the same cardinality) isomorphic?
66866
Algebraic dual of $\mathbb{R}^{\mathbb{N}}$
56211
An operator that commutes with another operator $T$ with distinct characteristic values is a polynomial in $T$
111248
The Uniqueness of a Coset of $R[x]/\langle f\rangle$ where $f$ is a Polynomial of Degree $d$ in $R[x]$
66708
Elementary isomorphism between $\operatorname{PSL}(2,5)$ and $A_5$
52556
Isomorphism of $S^1$.
104881
Showing that two Banach spaces are homeomorphic when their dimensions are equal.
87940
Question about bilinear form on Hilbert space
29756
Classsifying 1- and 2- dimensional Algebras, up to Isomorphism
8587
What is an example of two k-algebras that are isomorphic as rings, but not as k-algebras?
129549
Showing that the orthogonal projection in a Hilbert space is compact iff the subspace is finite dimensional
120766
Prove ${y_n}$ is a basis for a Hilbert space $H$.
27478
Proof that two basis of a vector space have the same cardinality in the infinite-dimensional case
158315
Are $M_2= \langle(\sqrt{2}^{\sqrt{2}},\infty),\cdot \rangle$ , $M_1 = \langle(2,\infty),\cdot\rangle$ isomorphic structures?
142698
Proving that the fundamental groups of two spaces with same homotopy type are isomorphic
151047
a non trivial example: $G/H$ is isomorphic to $G$
141794
Invariant subspaces of specific dimension