The range of a derivation on a Jordan-Banach algebra
The questions when a derivation on a Jordan-Banach algebra has quasi-nilpotent values, and when it has the range in the radical, are discussed.
The rationality of the Fourier coefficients of certain Eisenstein series on tube domains (I)
The singular modular forms on the 27-dimensional exceptional domain.
The structure and representation of n-ary algebras of DNA recombination
In this paper we investigate the structure and representation of n-ary algebras arising from DNA recombination, where n is a number of DNA segments participating in recombination. Our methods involve a generalization of the Jordan formalization of observables in quantum mechanics in n-ary splicing algebras. It is proved that every identity satisfied by n-ary DNA recombination, with no restriction on the degree, is a consequence of n-ary commutativity and a single n-ary identity of the degree 3n-2....
The Theory and Structure of Dual JB-Algebras.
The triple-norm extension problem: the nondegenerate complete case.
We prove that, if A is an associative algebra with two commuting involutions τ and π, if A is a τ-π-tight envelope of the Jordan Triple System T:=H(A,τ) ∩ S(A,π), and if T is nondegenerate, then every complete norm on T making the triple product continuous is equivalent to the restriction to T of an algebra norm on A.
The -function in -algebras.
Théorème de Cohen-Hewitt dans une algèbre de Jordan-Fréchet.
Théorèmes de factorisation dans les algèbres completes de Jordan.
A generalization of a result of Cohen-Hewitt is given in the case of Jordan-Banach algebras. Some precisions of factorization are obtained.
Theta Functions for Jordan Algebras.
Theta Functions for the Special, Formally Real Jordan Algebras. (A Remark on a Paper of H.L. Resnikoff).
Towards a Goldie Theory for Jordan pairs.
Trace and determinant in Jordan-Banach algebras.
Using an appropriate definition of the multiplicity of a spectral value, we introduce a new definition of the trace and determinant of elements with finite spectrum in Jordan-Banach algebras. We first extend a result obtained by J. Zemánek in the associative case, on the connectedness of projections which are close to each other spectrally (Theorem 2.3). Secondly we show that the rank of the Riesz projection associated to a finite-rank element a and a finite subset of its spectrum is equal to the...
Trace and Spectrum Preserving Linear Mappings in Jordan-Banach Algebras.
Transformations groups of the Andersson-Perlman cone.
Triple derivations on von Neumann algebras
It is well known that every derivation of a von Neumann algebra into itself is an inner derivation and that every derivation of a von Neumann algebra into its predual is inner. It is less well known that every triple derivation (defined below) of a von Neumann algebra into itself is an inner triple derivation. We examine to what extent all triple derivations of a von Neumann algebra into its predual are inner. This rarely happens but it comes close. We prove a (triple) cohomological...
Über Automorphorismenbahnen von Elementen u ... o mit (ad u) 3= ...ad u in endlichdimensionalen einfachen komplexen Lie-Algebren.
Über die Klassifikation der symmetrischen hermiteschen Mannigfaltigkeiten unendlicher Dimension. I.
Über Jordan-Algebren und beschränkte symmetrische Gebiete.
Un théorème de Liouville pour les algèbres de Jordan