We report on the magnetotransport in a 90 nm thick n-type GaAs epitaxial thin film in the weak localization (WL) regime. Low temperature (T</=50 K) magnetotransport data are fit with WL theory, from which the phase coherence time, tau(varphi) proportional, variantT(-p) (p=1.22+/-0.01), are extracted. We conclude that the dominant dephasing mechanism at these temperatures is electron-electron (e...

A bounded linear operator T on a Hilbert space is said to be homogeneous if $$\varphi (T)$$ unitarily equivalent for all $$ in the group Möb of bi-holomorphic automorphisms unit disc. projective unitary representation $$\sigma associated with an (T)= \sigma (\varphi )^* )$$ Möb. In this paper, we develop Möbius equivariant version Sz.-Nagy–Foias model theory completely non-unitary (cnu) contrac...

In this paper we introduce the notion of $varphi$-commutativity for a Banach algebra $A$, where $varphi$ is a continuous homomorphism on $A$ and study the concept of $varphi$-weak amenability for $varphi$-commutative Banach algebras. We give an example to show that the class of $varphi$-weakly amenable Banach algebras is larger than that of weakly amenable commutative Banach algebras. We charac...

The main purpose of this manuscript is to prove a common fixed point theorem for two weakly compatible maps satisfying the following integral type contraction in \(G\)-metric space:\[\int^{G(\mathcal{F}x,\mathcal{F}y,\mathcal{F}z)}_0\varphi (t)dt\le \alpha \int^{L(x,y,z)}_0\varphi (t)dt,\] all \(x,y, z\in X\), where\begin{align*}L(x,y,z)&amp;=\max\{G(gx, gy, gz), G(gx, \mathcal{F}x, \mathcal{F}...

Let $A$ and $B$ be two unital $C^{*}$-algebras and $varphi:A rightarrow B$ be a linear map. In this paper, we investigate the structure of linear maps between two $C^{*}$-algebras that preserve a certain property or relation. In particular, we show that if $varphi$ is unital, $B$ is commutative and $V(varphi(a)^{*}varphi(b))subseteq V(a^{*}b)$ for all $a,bin A$, then $varphi$ is a $*$-homomorph...

In this paper, we use the properties of Euler’s function, elementary methods and idea classification discussion to study solvability equation \(\varphi\) (x)+2 = (x+2)

Assume a diploid species consisting of an infinite number of competing demes, each having N(e) reproducing members and in which mating is at random. Then consider a locus at which a pair of alleles A and A' are segregating, where A' is the "altruistic allele," which has selective disadvantage s' relative to A with respect to individual selection, but which is beneficial for a deme in competitio...