Jordan Weak Amenability and Orthognal Forms on JB*-algebras
Siddiqui, Fatmah B. Jamjoom, Antonio M. Peralta and Akhlaq A. . 2015
We prove the existence of a linear isometric correspondence between
the Banach space of all symmetric orthogonal forms on a JB*-algebra
J and the Banach space of all purely Jordan generalized Jordan derivations
from J into J* . We also establish the existence of a similar linear isometric
correspondence between the Banach spaces of all anti-symmetric orthogonal
forms on J, and of all Lie Jordan derivations from J into J*.
We discuss the λ-function in the general setting of JB∗-triples. Several results connecting the λ-function with the distance of a vector to the Brown–Pedersen’s quasi-invertible elements and…
We generalize the concept of locality (resp. colocality) to the concept of locally factorable (resp. colocally factorable). In addition we show that locally factorable and colocally factorable are…
It is well known (see[9, 11.2.18]) that if A and B are maximal abelian von Neumann subalgebras of von Neumann algebras M and N, respectively, then A⊗B is a maximal abelian von Neumann subalgebra…