In this paper, we investigate the generalized Hyers-Ulam-Rassias and the Isac and Rassias-type stability of the conditional of orthogonally ring $*$-$n$-derivation and orthogonally ring $*$-$n$-homomorphism on $C^*$-algebras. As a consequence of this, we prove the hyperstability of orthogonally ring $*$-$n$-derivation and orthogonally ring $*$-$n$-homomorphism on $C^*$-algebras.

1Department of Community and Family Medicine, University of Jordan, Amman, Jordan. 2Department of Health Policy and Management, Jordan University of Science and Technology, Irbid, Jordan. Received: 30/04/03; accepted: 26/10/03 ABSTRACT The study analysed time utilization by a sample of 111 physicians, nurses and midwives in 62 primary health care facilities in Jordan. The providers’ activity ov...

The Lower Jordan River is located in the semiarid area of the Jordan Valley, along the border between Israel and Jordan. The implementation of the water sections of the peace treaty between Israel and Jordan and the countries' commitment to improve the ecological sustainability of the river system require a better understanding of the riverine environment. This paper investigates the sources an...

We study the symmetries of generalized spacetimes and corresponding phase spaces defined by Jordan algebras of degree three. The generic Jordan family of formally real Jordan algebras of degree three describe extensions of the Minkowskian spacetimes by an extra “dilatonic” coordinate, whose rotation, Lorentz and conformal groups are SO(d−1), SO(d−1, 1)×SO(1, 1) and SO(d, 2)×SO(2, 1), respective...

We study the symmetries of generalized spacetimes and corresponding phase spaces defined by Jordan algebras of degree three. The generic Jordan family of formally real Jordan algebras of degree three describe extensions of the Minkowskian spacetimes by an extra “dilatonic” coordinate, whose rotation, Lorentz and conformal groups are SO(d−1), SO(d−1, 1)×SO(1, 1) and SO(d, 2)×SO(2, 1), respective...

Physically meaningful regions can be modeled by regular open semianalytic sets with bounded boundaries. These sets are named as Yin sets and they form a topological space called the Yin space. Due to the regularity, the Yin sets can be represented by a collection of particular sets of oriented Jordan curves; this collection is referred to as the Jordan space. After defining a meet operation, a ...

Let A be a matrix and λ0 be one of its eigenvalues having g elementary Jordan blocks in the Jordan canonical form of A. We show that for most matrices B satisfying rank (B) ≤ g, the Jordan blocks of A+B with eigenvalue λ0 are just the g− rank (B) smallest Jordan blocks of A with eigenvalue λ0. The set of matrices for which this behavior does not happen is explicitly characterized through a scal...

I revisit Jordan's derivation of Einstein's formula for energy fluctuations in the black body thermal equilibrium. This is usually taken to represent unification wave and particle aspects electromagnetic field since can be shown sum wave-like particle-like contributions. However, treatment there no mention Planck distribution all averages are performed with respect pure number states radiation ...