Brian Lins

activity

20102025

most citedInverse continuity on the boundary of the numerical range

1 citations · 2 across the 15 of their papers we have counts for

collaborators

Showing 2013 · math.FAShow all

2 papers · 2 filters

math.FA2013

Continuity properties of vectors realizing points in the classical field of values

Dan Corey, Charles R. Johnson, Ryan Kirk +2

For an $n$ -by- $n$ matrix $A$ , let $f_{A}$ be its "field of values generating function" defined as $f_{A} : x \mapsto x^{*} A x$ . We consider two natural versions of the continuity, whic…

math.FA2013★ 1 cited

Inverse continuity on the boundary of the numerical range

Timothy Leake, Brian Lins, Ilya Spitkovsky

Let $A \in M_n(\C)$. We consider the mapping $f_{A} (x) = x^{*} A x$ , defined on the unit sphere in $\C^n$. The map has a multi-valued inverse $f_{A}^{- 1}$ , and the continuity properties of $…