Otte Heinävaara

collaborators

3 papers

math.FA2023

Tracial joint spectral measures

Otte Heinävaara

Given two Hermitian matrices, $A$ and $B$ , we introduce a new type of spectral measure, a $tracial joint spectral measure$ $μ_{A, B}$ on the plane. Existence of this measu…

math.PR2023

A random line intersects $S^{2}$ in two probabilistically independent locations

Dmitriy Bilyk, Alan Chang, Otte Heinävaara +2

We consider random lines in $R^{3}$ (random with respect to the kinematic measure) and how they intersect $S^{2}$ . It is known that the entry point and the exit point…

math.FA2022

Planes in Schatten- $3$

Otte Heinävaara

We prove that any two-dimensional real subspace of Schatten-3 can be linearly isometrically embedded into $L_{3}$ . This resolves the case $p = 3$ of Hanner's inequality for Schatte…

Tracial joint spectral measures

A random line intersects S2 in two probabilistically independent locations

Planes in Schatten-3

A random line intersects $S^{2}$ in two probabilistically independent locations

Planes in Schatten- $3$