On minimal completely regular spaces associated with a given ring of continuous functions." Michigan

Z-continuous posets are common generalizations of continuous posets, completely distributive lattices, and unique factorization posets. Though the algebraic properties of Z-continuous posets had been studied by several authors, the topological properties are rather unknown. In this short note an intrinsic topology on a Z-continuous poset is de ned and its properties are explored.

In this paper, we introduce and study some stronger forms of g∗p-continuous functions namely, strongly g∗p-continuous, perfectly g∗p-continuous and completely g∗p-continuous functions in topological spaces. Further we introduce the concepts of strongly g∗p-closed and strongly g∗p-open maps and obtain some of their properties.

this paper deals with continuous frames and continuous riesz bases. we introduce continuous riesz bases and give some equivalent conditions for a continuous frame to be a continuous riesz basis. it is certainly possible for a continuous frame to have only one dual. such a continuous frame is called a riesz-type frame [13]. we show that a continuous frame is riesz-type if and only if it is a con...

In this paper, we study numerical approximations of eigenvalues when using projection method for spectral approximations of completely continuous operators. We improve the theory depending on the ascent of T − μ and provide a new approach for error estimate, which depends only on the ascent of Th − μh. Applying this estimator to the integral operator eigenvalue problems, we obtain asymptoticall...

All continuous translation invariant complex-valued valuations on Lebesgue measurable functions are completely classified. And all rotation spherical also

case presentation the patient was a 45-year-old male with t8 complete paraplegia; he had developed severe pressure ulcer. the authors used lllt as a complementary treatment. they used 980 nm, continuous 6 j/cm2 for margins and 655 nm, continuous 1.8 j/cm2 for bed of the ulcer, along with intravascular laser therapy. after 24 sessions of lllt and z-plasty surgery, the ulcer healed completely. co...