Complete holomorphic vector fields on the second dual of Banach space.
Complex borel structure in JC-algebras.
Continuity of derivations on a complete normed alternative algebra
Continuity of homomorphisms into normed algebras without topological divisors of zero.
Continuity of Jordan homomorphisms of Banach algebras.
Convex combinations of unitaries in -algebras.
Derivations on Jordan-Banach algebras
We establish that all derivations on a semisimple Jordan-Banach algebra are automatically continuous. By showing that "almost all" primitive ideals in the algebra are invariant under a given derivation, the general case is reduced to that of primitive Jordan-Banach algebras.
Diagonalization in Banach algebras and Jordan-Banach algebras.
Distinguishing Jordan polynomials by means of a single Jordan-algebra norm
For = ℝ or ℂ we exhibit a Jordan-algebra norm ⎮·⎮ on the simple associative algebra with the property that Jordan polynomials over are precisely those associative polynomials over which act ⎮·⎮-continuously on . This analytic determination of Jordan polynomials improves the one recently obtained in [5].
Dual spaces of JB*-triples and the Radon-Nikodym property.
Erratum to "On the Facial Structure of the Unit Ball of a GM-Space", Math. Z. 193, 597-611 (1986).
Extension d'un Théorème de Harte et Applications aux Algèbres de Jordan-Banach.
Formes multiplicatives à valeurs dans le spectre
Holomorphic functional calculus in Jordan-Banach algebras
Isometries and automorphisms of the spaces of spinors.
The relationships between the JB*-triple structure of a complex spin factor S and the structure of the Hilbert space H associated to S are discussed. Every surjective linear isometry L of S can be uniquely represented in the form L(x) = mu.U(x) for some conjugation commuting unitary operator U on H and some mu belonging to C, |mu|=1. Automorphisms of S are characterized as those linear maps (continuity not assumed) that preserve minimal tripotents in S and the orthogonality relations among them.
Isometries of JB-algebras.
Isomorphisms of Jordan-Banach algebras.
Jordan Axioms for C*-Algebras.
Jordan polynomials can be analytically recognized
We prove that there exists a real or complex central simple associative algebra M with minimal one-sided ideals such that, for every non-Jordan associative polynomial p, a Jordan-algebra norm can be given on M in such a way that the action of p on M becomes discontinuous.
Korovkin theory in liminal JB-algebras.