On isometry groups of self-adjoint traceless and skew-symmetric matrices

M Gaál, RM Guralnick - Linear Algebra and its Applications, 2018 - Elsevier
This note is concerned with isometries on the spaces of self-adjoint traceless matrices. We
compute the group of isometries with respect to any unitary similarity invariant norm. This …

Isometries of real subspaces of self-adjoint operators in banach symmetric ideals

BR Aminov, VI Chilin - Vladikavkaz Mathematical Journal, 2019 - cyberleninka.ru
Let (CE,∥⋅∥ CE) be a Banach symmetric ideal of compact operators, acting in a complex
separable infinite-dimensional Hilbert space H. Let ChE={x∈ CE: x= x∗} be the real Banach …

On some Isometries and other Preservers

M Gaál - 2019 - search.proquest.com
The topic of the dissertation falls into the area of preserver problems. The dissertation
consists of five chapters followed by a summary (both in English and in Hungarian) and a …

Simple Lie groups stabilizing G-invariant norms

M Gaál, RM Guralnick - Linear Algebra and its Applications, 2021 - Elsevier
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[PDF][PDF] Izometriakrol és egyéb megorzési problémakrol

G Marcell - math.u-szeged.hu
A jelen disszertáció néhány eredményt tartalmaz a megorzési problémák területérol. Az
ilyen problémákat általánosan a következoképpen tudjuk megfogalmazni. Legyen adott egy …