X iv :0 70 7. 43 28 v1 [ m at h. C O ] 3 0 Ju l 2 00 7 Multiple extensions of a finite Euler’s pentagonal number theorem and the Lucas formulas Victor J. W. Guo1 and Jiang Zeng2 Department of Mathematics, East China Normal University, Shanghai 200062, People’s Republic of China [email protected], http://math.ecnu.edu.cn/~jwguo 2 Université de Lyon; Université Lyon 1; Institut Camille Jorda...

Georgeanna Seegar Jones [6] was a reproductive endocrinologist who created one of America?s most successful infertility [7] clinics and eventually, along with her husband Howard W. Jones, MD, performed the first in vitro [8] fertilization [9] in America, leading to the birth of Elizabeth Jordan Carr. Jones was born in Baltimore, Maryland, on 6 July 1912. Her father, Dr. John King Beck Emory See...

electrodes in CoFeB/MgO/CoFeB junctions during thermal annealing W. G. Wang, J. Jordan-sweet, G. X. Miao, C. Ni, A. K. Rumaiz, L. R. Shah, X. Fan, P. Parsons, R. Stearrett, E. R. Nowak, J. S. Moodera, and J. Q. Xiao Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA IBM T.J. Watson Research Center, Yorktown Heights, New York 10598, USA Francis Bitter Magnet...

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...

Let A be a unital algebra and M be a unital A-bimodule. A characterization of generalized derivations and generalized Jordan derivations from A into M, through zero products or zero Jordan products, is given. Suppose that M is a unital left A-module. It is investigated when a linear mapping from A into M is a Jordan left derivation under certain conditions. It is also studied whether an algebra...

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...

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.