‎Let $mathscr{L}$ be a commutative subspace lattice generated by finite many commuting independent nests on a complex separable Hilbert space $mathbf{H}$ with ${rm dim}hspace{2pt}mathbf{H}geq 3$‎, ‎${rm Alg}mathscr{L}$‎ ‎the CSL algebra associated with $mathscr{L}$ and $mathscr{M}$ be an algebra containing ${rm Alg}mathscr{L}$‎. ‎This article is aimed at describing the form of‎ ‎additive mapppi...

We generalize the notion of ‘diagonal’ from the class of CSL algebras to masa bimodules. We prove that a reflexive masa bimodule decomposes as a sum of two bimodules, the diagonal and a module generalizing the w*-closure of the Jacobson radical of a CSL algebra. The latter module turns out to be reflexive, a result which is new even for CSL algebras. We show that the projection onto the direct ...

In this article we work with the degenerate affine Hecke algebra Hl corresponding to the general linear group GLl over a local non-Archimedean field. This algebra was introduced by V.Drinfeld in [D], see also [L]. The complex associative algebra Hl is generated by the symmetric group algebra CSl and by the pairwise commuting elements x1 , . . . , xl with the cross relations for p = 1 , . . . , ...

the effects of wet-feeding of five levels of corn steep liquor (csl) on broilers performance and relative internal organ weights were examined. three hundreds 1-d old broilers (ross 308) were randomly allocated to one of the six dietary treatments in a completely randomized design with 5 replications of 10 chicks per pen. the dietary treatments were: 1. dry-fed control, no add water nor csl in ...

Given a subspace S of operators on a Hilbert space, and given two operators X and Y (not necessarily in S), when can we be certain that there is an operator A in S such that AX = Y ? If there is one, can we find some bound for its norm? These questions are the subject of a number of papers, some by the present authors, and mostly restricted to the case where S is a reflexive algebra. In this pa...

In a retrospective study, one hundred corneosclerallaceration (CSL) cases were managed at Zahedan Ophthalmic Center from 1988-1990. Our findings showed that CSL is more commonly seen in young and male patients. Seasonal variation in CSL frequency with higher prevalence in the fust half of the years was evident. Also it was found that cataract was more common in corneal lacerations while hyp...

In this work we study a new equivalence relation between w∗ closed algebras of operators on Hilbert spaces. The algebras A and B are called TRO equivalent if there exists a ternary ring of operatorsM (i.e. MM∗M ⊂ M) such that A = [M∗BM]−w ∗ and B = [MAM∗]−w ∗ . We prove that two reflexive algebras are TRO equivalent if and only if there exists a ∗ isomorphism between the commutants of their dia...