The norm extension problem: positive results and limits.
The polarisation constant for JB*-triples.
The Radon-Nikodym Theorem for Weights on Semi-Finite JBW-Algebras.
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 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.
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.
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 die Klassifikation der symmetrischen hermiteschen Mannigfaltigkeiten unendlicher Dimension. I.
Weak continuity of holomorphic automorphisms in JB-triples.
Weak*-continuity of Jordan triple products and its applications.
Weakly Compact Operators on Jordan Triples.
Абсолютные делители нуля и алгебраические йордановы алгебры
Алгебраические йордановы алгебры с условием максимальности для ассоциативных подалгебр.
Бипредставления бесконечномерных йордановых алгебр
Булевозначный анализ и -алгебры.
Йордановы алгебры с делением.