Proximal Operator of a Composition of Functions
103045
Composition of Proximal Operators
126698
measurability of a function -equivalent conditions
151046
Closure of the invertible operators on a Banach space
155974
Show $||Tx||_2 \leq ||(v_n)||_2 \cdot ||x||_{\infty}$
97994
Orthogonality Relations Exercise, Brezis' Book Functional Analysis
97158
Prove that the operator norm is a norm
133498
Show that Function Compositions Are Associative
60887
$d_A(x) = \inf_{a \in A} \|x-a\|$ is convex if and only if $A$ is convex
130363
Prove composition of two surjections is surjection
4676
Notation for repeated composition of functions
21391
Proving Functions are Surjective
51302
Show that the operator norm is submultiplicative
4498
Proof that $\|fx\| \leq \|f\|\cdot\|x\|$
145785
Sets of functions closed within composition.
64619
Continuity of a function of product spaces
6632
Sequence of differentiable functions
84890
Extremising a functional with conditions