Let $varphi(z)=z^m, z in mathbb{U}$, for some positive integer $m$, and $C_varphi$ be the composition operator on the Bergman space $mathcal{A}^2$ induced by $varphi$. In this article, we completely determine the point spectrum, spectrum, essential spectrum, and essential norm of the operators $C^*_varphi C_varphi, C_varphi C^*_varphi$ as well as self-commutator and anti-self-commutators of $C_...

‎In this paper we investigate the dilations of completely positive definite representations‎ ‎of (C^ast)-dynamical systems with abelian groups on Hilbert (C^ast)-modules‎. ‎We show that if ((mathcal{A}‎, ‎G,alpha)) is a (C^ast)-dynamical system with (G) an abelian group‎, ‎then every completely positive definite covariant representation ((pi,varphi,E)) of ((mathcal{A}‎, ‎G,alpha)) on a Hilbert ...

We enrich the known results about tripled fixed points and best proximity points. generalize notion of ordered pairs cyclic contraction maps we obtain sufficient conditions for existence uniqueness (or proximity) get a priori posteriori error estimates points, provided that underlying Banach space has modulus convexity power type in case obtained by sequences successive iterations. illustrate m...

We examined the effects of cyclic AMP (cAMP) on the intracellular Ca2+ release in both the intact and skinned arterial smooth muscle. The amount of Ca2+ in the sarcoplasmic reticulum (SR) was estimated indirectly by caffeine-induced contraction of the skinned preparation and directly by caffeine-stimulated 45Ca efflux from the previously labeled skinned preparation. The norepinephrine-induced r...

Endothelin-1 (ET) induces increases in intracellular Ca(2+) concentration ([Ca(2+)](i)), Ca(2+) sensitization, and contraction of both bronchiole and pulmonary arteriole smooth muscle cells (SMCs) and may play an important role in the pathophysiology of asthma and pulmonary hypertension. However, because it remains unclear how changes in [Ca(2+)](i) and the Ca(2+) sensitivity regulate SMC contr...

In the present work, we have introduced a new type of (ξ,ω)-weakly cyclic generalized contraction in setting metric spaces and established some fixed-point results. Fixed-point results are useful establishing existence unique solution to differential equations. We supplemented derived with suitable non-trivial examples an application Boundary Value Problem, generalizing known The analytical res...

A Hopf manifold is a quotient of $C^n\backslash 0$ by the cyclic group generated holomorphic contraction. manifolds are diffeomorphic to $S^1\times S^{2n-1}$ and hence do not admit Kahler metrics. It known that defined linear contractions (called manifolds) have locally conformally (LCK) In this paper we prove non-linear embeddings into manifolds, and, moreover they LCK

In this paper, we first introduce a new notion of the property (M_{C}) to improve and generalize (G_{C}). After that, present two concepts, proximal b-cyclic contraction type second type, on b-metric spaces. Then, obtain best proximity point results for such mappings in frameworks proximally complete spaces by using (M_{C}). Hence, some existing literature. Finally, illustrative interesting exa...

THE VISCOSITY OF A COMPRESSED GAS IS A FUNCTION OF THREE VARIABLES: (1) the degree of crowding of the molecules; (2) their capacity, by reason of softness, flexibility, or rotational inertia, to absorb the vector momentum applied to cause flow; (3) the resistance to this vector momentum offered by the randomly oriented thermal momenta, which becomes significant when the liquid expands sufficien...