New posts in normed-spaces

Sup Norm and Uniform Convergence

real-analysis metric-spaces normed-spaces uniform-convergence

Prove that $\exists c > 0$ such that $||f||_2 \le c ||T(f)||_{\infty}$

functional-analysis continuity normed-spaces

Operator norm on product space

functional-analysis banach-spaces tensor-products normed-spaces

Operator norm calculation for simple matrix [closed]

matrices normed-spaces matrix-norms spectral-norm

Moore-Penrose pseudoinverse and the Euclidean norm

linear-algebra matrices normed-spaces machine-learning pseudoinverse

Equivalence of norms proof

real-analysis normed-spaces

Are open balls in the topological dual space $A^*$ weak-* open?

general-topology functional-analysis normed-spaces dual-spaces weak-topology

1 and 2 norm inequality

analysis numerical-methods vectors normed-spaces

Proof of Matrix Norm (Inverse Matrix)

matrices normed-spaces inverse

Royden's proof that $L^{p_2}\subseteq L^{p_1}$ if $p_1<p_2$

real-analysis functional-analysis normed-spaces

If the entries of a positive semidefinite matrix shrink individually, will the operator norm always decrease?

linear-algebra matrices inequality normed-spaces hadamard-product

Show that $F+G$ is closed when $G$ a closed subspace of normed space $E$ and $F$ a finite dimensional subspace of $E$.

functional-analysis vector-spaces normed-spaces

Show that the norm of the multiplication operator $M_f$ on $L^2[0,1]$ is $\|f\|_\infty$

analysis normed-spaces

Limit definition of pseudoinverse: $A^+ b$ is as close as possible to $y$ in terms of the Euclidean norm $\lVert Ax-b\rVert_2$

linear-algebra proof-explanation normed-spaces pseudoinverse

Multiplicative norm on $\mathbb{R}[X]$.

linear-algebra polynomials normed-spaces inner-products

Trace Norm properties

matrices normed-spaces matrix-norms nuclear-norm

Isomorphisms between Normed Spaces

category-theory banach-spaces normed-spaces

Bounds on expectation of Gaussian random vectors

probability inequality normal-distribution normed-spaces expected-value

The definition of locally Lipschitz

real-analysis analysis derivatives continuity normed-spaces

A Banach space that is not a Hilbert space

functional-analysis hilbert-spaces banach-spaces normed-spaces inner-products