Naslov
Generalized n-circular projections on JB*-triples

Autori
Ilišević, Dijana

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni

Knjiga
Contemporary Mathematics

Urednik/ci
Botelho, Fernanda

Izdavač
American Mathematical Society (AMS)

Grad
Singapur

Godina
2017

Raspon stranica
157-165

ISBN
978-1-4704-2772-6

ISSN
0271-4132

Ključne riječi
Projection, isometry, hermitian operator, JB*-triple

Sažetak
A nonzero projection $P_0$ on a complex Banach space $X$ is said to be a generalized $n$-circular projection ($n \geq 2$) if there exist distinct modulus one complex numbers $\lambda_1, \dots, \lambda_(n-1)$, not equal to 1, and nonzero projections $P_1, \dots, P_(n-1)$ on $X$ such that $P_0 \oplus P_1 \oplus \cdots \oplus P_(n-1)$ is the identity on $X$, and $P_0 + \lambda_1 P_1 + \cdots + \lambda_(n-1)P_(n-1)$ is an isometry. If $X$ is a JB*-triple and $n=2$ then it is known that $\lambda_1=-1$, or $P_0$ and $P_1$ are hermitian. The aim of this paper is to generalize this result for arbitrary $n \geq 2$, and to apply it to the case $n=3$, that is, to the so-called generalized tricircular projections.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA