Here, we investigate symmetric bi-derivations and their generalizations on L? 0 (G)*. For k ? N, show that if B:L?0(G)*x L?0(G)* is asymmetric bi-derivation such [B(m,m),mk] Z(L?0(G)*) for all m (G)*, then B the zero map. Furthermore, characterize generalized biderivations group algebras. We also prove any Jordan 0(G)* a bi-derivation.

Let A∈Rn×n be an irreducible totally nonnegative matrix with rank r and principal p, that is, all minors of A are nonnegative, is the size largest invertible square submatrix p its submatrix. triple (n,r,p) called realizable if there exists n×n p. In this work we present a method to construct matrices associated prescribed Jordan canonical form corresponding zero eigenvalue.

Recently, Takahashi has introduced the James and von Neumann-Jordan type constants. In this paper, we present some sufficient conditions for uniform normal structure and therefore the fixed point property of a Banach space in terms of the James and von Neumann-Jordan type constants and the Ptolemy constant. Our main results of the paper significantly generalize and improve many known results in...

In this paper we characterize the left Jordan derivations on Banach algebras. Also, it is shown that every bounded linear map $d:mathcal Ato mathcal M$ from a von Neumann algebra $mathcal A$ into a Banach $mathcal A-$module $mathcal M$ with property that $d(p^2)=2pd(p)$ for every projection $p$ in $mathcal A$ is a left Jordan derivation.

Mathieu and Ruddy proved that if be a unital spectral isometry from a unital C*-algebra Aonto a unital type I C*-algebra B whose primitive ideal space is Hausdorff and totallydisconnected, then is Jordan isomorphism. The aim of this note is to show that if be asurjective spectrum preserving additive map, then is a Jordan isomorphism without the extraassumption totally disconnected.

A century ago, Camille Jordan proved that the complex general linear group GLn(C) has the Jordan property: there is a Jordan constant Cn such that every finite subgroup H ≤ GLn(C) has an abelian subgroup H1 of index [H : H1] ≤ Cn. We show that every connected algebraic group G (which is not necessarily linear) has the Jordan property with the Jordan constant depending only on dimG, and that the...

1. Dept. of Community and Mental Health Nursing, School of Nursing, Mafraq, Jordan 2. Dept. of Maternal, Child and Family Health, School of Nursing, the Hashemite University, Zarqa, Jordan 3. Dept. of Adult Health, School of Nursing, Zarqa University, Zarqa, Jordan 4. Unit of E-Learning & Information Technology, College of Nursing, King Saud University, Al-Diriyah, Saudi Arabia 5. Dept. of Midw...

For a Jordan domain with sufficiently smooth boundaries, the solution to Dirichlet problem for second-order skew-symmetric strongly elliptic system constant coefficients and regular enough boundary data is constructed in form of power series small parameter describing perturbation given from Laplace one. The this are functions that determined sequentially as solutions special problems usual Poi...

Nineteen species of anopheline and culicine mosquitoes are reported from larval collections made in northern Jordan and the Jordan Valley. Culex judaicus, Culiseta annulata, and Uranotaenia unguiculata are reported as new records for Jordan. The impact of agricultural development and man-made changes on the mosquito fauna of Jordan is discussed.