INVESTIGADORES
CONDE Cristian Marcelo
artículos
Título:
Generalized numerical radius and related inequalities
Autor/es:
TAMARA BOTTAZZI; CRISTIAN CONDE
Revista:
OPERATORS AND MATRICES
Editorial:
ELEMENT
Referencias:
Lugar: Zagreb; Año: 2021
ISSN:
1846-3886
Resumen:
In [2], Abu Omar and Kittaneh defined a new generalization of the numerical radius.That is, given a norm N(·) on B(H), the space of bounded linear operators over a Hilbert spaceH , and A ∈ B(H) w_N(A) = sup_{θ∈R}N(Re(eiθA)).They proved several properties and introduced some inequalities. We continue with the studyof this generalized numerical radius and we develop diverse inequalities involving w_N . We alsostudy particular cases when N(·) is the p - Schatten norm with p > 1 .