43 citations · 298 across the 79 of their papers we have counts for
6 papers · 1 filter
Order type relations on the set of tripotents in a JB-triple
Jan Hamhalter, Ondřej F. K. Kalenda, Antonio M. Peralta
We introduce, investigate and compare several order type relations on the set of tripotents in a JB-triple. The main two relations we address are and . We say th…
Exploring new solutions to Tingley's problem for function algebras
María Cueto-Avellaneda, Daisuke Hirota, Takeshi Miura +1
In this note we present two new positive answers to Tingley's problem in certain subspaces of function algebras. In the first result we prove that every surjective isometry between…
Determinants in Jordan matrix algebras
Jan Hamhalter, Ondřej F. K. Kalenda, Antonio M. Peralta
We introduce a natural notion of determinant in matrix JB-algebras, i.e., for hermitian matrices of biquaternions and for hermitian matrices of complex octonions. W…
Similarities and differences between real and complex Banach spaces: an overview and recent developments
M. S. Moslehian, G. A. Muñoz-Fernández, A. M. Peralta +1
There are numerous cases of discrepancies between results obtained in the setting of real Banach spaces and those obtained in the complex context. This article is a modern expositi…
Surjective isometries between unitary sets of unital JB-algebras
María Cueto-Avellaneda, Yuta Enami, Daisuke Hirota +2
This paper is, in a first stage, devoted to establish a topological--algebraic characterization of the principal component, , of the set of unitary elements, $\m…
Representation of symmetry transformations on the sets of tripotents of spin and Cartan factors
Yaakov Friedman, Antonio M. Peralta
There are six different mathematical formulations of the symmetry group in quantum mechanics, among them the set of pure states -- i.e., the set of one-dimensional pro…