المنشورات و المؤلفات
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 extreme convex decompositions have been obtained for
JB∗-...
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 inherited by complemented subspace, then we present...
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 of M⊗N. It is then natural to ask whether a similar...
We explore a JB^{∗}-triple analogue of the notion of quasi invertible elements, originally studied by L. Brown and G. Pedersen in the setting of C^{∗}-algebras. This class of BP-quasi invertible elements properly includes all invertible elements and...
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...
We initiate a study of quasi-Jordan normed algebras. It is demonstrated that any quasi-Jordan Banach algebra with a norm 1 unit can be given an equivalent norm making the algebra isometrically isomorphic to a closed right ideal of a unital split...
We establish new estimates to compute the λ-function of Aron and Lohman on the unit ball of a JB*-triple. It is established that for every Brown--Pedersen quasi-invertible element a in a JB*-triple E we have dist(a,Ԑ(E₁))=max{1-m_{q}(a),‖a‖-1} ,...