In this paper we study the continuous dynamical sampling problem at infinite time in a complex Hilbert space H. We find necessary and sufficient conditions on bounded linear operator A∈B(H) set of vectors G⊂H, order to obtain that {etAg}g∈G,t∈[0,∞) is semi-continuous frame for if it possible discretize variable t still have also relate iteration etA G discrete (A′)n G′ an adequate A′ G′⊂H.

Throughout this paper, G will denote a nondegenerate continuous collection of atriodic continuous curves (i.e. arcs or simple closed curves) filling up a compact metric continuum M. As is well known, we may regard G itself as a compact metric continuum, with the elements of the collection G as the points of the space G and with G, as a space, the image of M under an open continuous mapping whos...

The Lie algebra of a nuclear group is a locally convex nuclear vector space. Mathematics Subject Classification (2000): 22B05, 22E65, 46Axx 1. The Lie Algebra of Abelian Topological Groups Let G be an abelian topological group. The set of all one–parameter–subgroups L(G) := {λ : R→ G : λ is a continuous homomorphism} is called the Lie algebra of G . We define addition pointwise and scalar multi...

In this article, we prove the existence of extremal positive solution for the distributed order fractional hybrid differential equation$$int_{0}^{1}b(q)D^{q}[frac{x(t)}{f(t,x(t))}]dq=g(t,x(t)),$$using a fixed point theorem in the Banach algebras. This proof is given in two cases of the continuous and discontinuous function $g$, under the generalized Lipschitz and Caratheodory conditions.

A continuous butanol production system with high-density Clostridium saccharoperbutylacetonicum N1-4 generated by cell recycling was established to examine the characteristics of butanol fermentation from xylose. In continuous culture without cell recycling, cell washout was avoided by maintaining pH>5.6 at a dilution rate of 0.26 h(-1), indicating pH control was critical to this experiment. Su...

If G is a Polish group, then the category of Polish G-spaces and continuous G-mappings has a universal object. §0. Preface It is known from [2] that 0.1. Theorem (de Vries). Let G be a separable locally compact metric group. Then the category of continuous G-maps and separable complete metric G-spaces has a universal object. In other words, there is a separable complete metric space X on which ...

background: cross-contamination between cells is a usual mistake at cell culture laboratories and cell banks worldwide. mrc5 diploid cell and rk-13, vero and hela continuous cell lines are used in different stages of human viral vaccines propagation at razi vaccine and serum research institute of iran. however diploid and continuous cells are propagated at separated cell culture laboratory and ...

Given a profinite group G with finite virtual cohomological dimension, let {Xi} be a tower of discrete G-spectra, each of which is fibrant as a spectrum, so that X = holimi Xi is a continuous G-spectrum, with homotopy fixed point spectrum XhG. The E2-term of the descent spectral sequence for π∗(X) cannot always be expressed as continuous cohomology. However, we show that the E2-term is always b...

the morphology of retinal photoreceptor layer was studied in continuous light-exposed and dark-adapteddomestic male cats (felis catus). the eyes of 12 healthy adult cats (4 in continuous light-exposed group, 4 in continuous dark-adapted group, and 4 in control group) were routinely fixed and studied by electron microscope. results showed that the general structure of photoreceptor layer in this...

The aim of this paper is to introduce and study gp-continuous maps. Basic characterizations and several properties concerning them are obtained.Further,gp-irresolute map is also defined. Some of the properties are investigated. 1991 AMS Classification: 54A05, 54D10.