Prob. 3, Sec. 3.2 in Kreyszig's Functional Analysis Book: Is the space of all polynomials of a fixed degree complete?
63032
Why is it true that every finite-dimensional inner product space is a Hilbert space?
158156
Finding the dual basis for the space of polynomials of degree $\leq$ 2
28731
Banach space in functional analysis
46265
Minimal polynomial of the operator $T:V\oplus W\to V\oplus W$
111248
The Uniqueness of a Coset of $R[x]/\langle f\rangle$ where $f$ is a Polynomial of Degree $d$ in $R[x]$
138631
Overlapping Polynomials
34670
What exactly is the fixed field of the map $t\mapsto t+1$ in $k(t)$?
115502
Analogue of the Cantor-Bernstein-Schroeder theorem for general algebraic structures
134065
A question about an $n$-dimensional subspace of $\mathbb{F}^{S}$.
143674
Space of bounded functions is complete
12166
How many irreducible polynomials of degree $n$ exist over $\mathbb{F}_p$?
26183
Prob. 9, Sec. 4.3 in Kreyszig's Functional Analysis Book: Proof of the Hahn Banach Theorem without Zorn's Lemma
121732
Functional completeness of $\{\text{or},\text{ xor}, \text{ xnor}\}$
109039
Does this "extension property" for polynomial rings satisfy a universal property?
10907
Necessity of completeness of the inner product space in Riesz representation theorem
117418
Showing that the image of a function is $\mathbb{C}$ if it satisfies a nice functional equation
26999
How is the degree of the minimal polynomial related to the degree of a field extension?