Abdullah Cavus

Abdullah Cavus
Karadeniz Technical University · Department of Mathematics

About

7
Publications
358
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17
Citations
Citations since 2016
1 Research Item
7 Citations
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20162017201820192020202120220.00.51.01.52.0
20162017201820192020202120220.00.51.01.52.0
20162017201820192020202120220.00.51.01.52.0

Publications

Publications (7)
Article
Full-text available
Let A denote the generator of a strongly continuous periodic one-parameter group of bounded linear operators in a complex Banach space H. In this work, an analog of the resolvent operator which is called quasi-resolvent operator and denoted by Rλ is defined for points of the spectrum, some equivalent conditions for compactness of the quasi-resolven...
Article
Full-text available
Let D be the infinitesimal generator of a strongly continuous periodic one-parameter group of linear operators in a Banach space. Main results: An analog of the resolvent operator (= quasi-resolvent operator of D) is defined for points of the spectrum of D and its evident form is given. The theorem on integral for the operator D, theorems on the ex...
Article
Main results: For every equicontinuous almost periodic linear representation of a group in a complete locally convex space L with the countability property, there exists the unique invariant averaging; it is continuous and is expressed by using the L-valued invariant mean of Bochner and von-Neumann. An analog of Wiener's approximation theorem for a...
Article
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A definition of an invariant averaging for a linear representation of a group in a locally convex space is given. Main results: A group $H$ is finite if and only if every linear representation of $H$ in a locally convex space has an invariant averaging. A group $H$ is amenable if and only if every almost periodic representation of $H$ in a quasi-co...
Article
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Let G be a finite domain in the complex plane with K-quasicon formal boundary, z 0 be an arbitrary fixed point in G and p>0. Let jp ( z ): = òx0 x [ f( z) ]2/8 dz\varphi _p \left( z \right): = \int_{x_0 }^x {\left[ {\phi \left( \zeta \right)} \right]^{2/8} } d\zeta , and let \iintc | jp ( z ) - Px1 (z) |p d0x \iint\limits_c {\left| {\varphi _p \...
Article
In this work, for the first time, generalized Faber series for functions in the Bergman spaceA2(G) on finite regions with a quasiconformal boundary are defined, and their convergence on compact subsets ofGand with respect to the norm onA2(G) is investigated. Finally, ifSn(f, z) is thenth partial sum of the generalized Faber series off∈A2(G), the di...
Article
Let T be the group {e it ∣0≤t<2π}. We consider T with its euclidean topology. Our main results are as follows: 1) Theorem 1 which establishes a connection between spectrums of a continuous linear representation of T in a reflexive Banach space and its conjugate linear representation; 2) Theorem 11 which gives a description of all left (right) simpl...

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