Ezgi Erdoğan

Ezgi Erdoğan
Marmara University · Department of Mathematics

Doctor of Philosophy

About

15
Publications
658
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30
Citations
Additional affiliations
September 2016 - March 2017
Universitat Politècnica de València
Position
  • Researcher

Publications

Publications (15)
Article
Full-text available
We analyze the basic structure of certain metric models, which are constituted by an index I acting on a metric space (D; d) representing a relevant property of the elements of D. We call such a structure (D; d; I) an index space and define on it normalization and consistency constants that measure to what extent I is compatible with the metric d....
Article
Full-text available
A new stochastic approach for the approximation of (nonlinear) Lipschitz operators in normed spaces by their eigenvectors is shown. Different ways of providing integral representations for these approximations are proposed, depending on the properties of the operators themselves whether they are locally constant, (almost) linear, or convex. We use...
Article
Full-text available
A new stochastic approach is presented to understand general spectral type problems for (not necessarily linear) functions between topological spaces. In order to show its potential applications, we construct the theory for the case of bilinear forms acting in couples of a Banach space and its dual. Our method consists of using integral representat...
Article
University rankings are now relevant decision-making tools for both institutional and private purposes in the management of higher education and research. However, they are often computed only for a small set of institutions using some sophisticated parameters. In this paper we present a new and simple algorithm to calculate an approximation of the...
Article
Consider a couple of sequence spaces and a product function $-$ a canonical bilinear map associated to the pointwise product $-$ acting in it. We analyze the class of "zero product preserving" bilinear operators associated with this product, that are defined as the ones that are zero valued in the couples in which the product equals zero. The bilin...
Article
This paper deals with multilinear operators acting in products of Banach spaces that factor through a canonical mapping. We prove some factorization theorems and characterizations by means of norm inequalities for multilinear operators defined on the n-fold Cartesian product of the space of bounded Borel measurable functions, respectively, products...
Article
We present a constructive technique to represent classes of bilinear operators that allow a factorization through a bilinear product, providing a general version of the well-known characterization of integral bilinear forms as elements of the dual of an injective tensor product. We show that this general method fits with several known situations co...
Article
Full-text available
This paper deals with bilinear operators acting in pairs of Banach function spaces that factor through the pointwise product. We find similar situations in different contexts of the functional analysis, including abstract vector lattices—orthosymmetric maps, \(C^*\)-algebras—zero product preserving operators, and classical and harmonic analysis—int...
Article
In this paper we consider a special class of continuous bilinear operators acting in a product of Banach algebras of integrable functions with convolution product. In the literature, these bilinear operators are called ‘zero product preserving’, and they may be considered as a generalization of Lamperti operators. We prove a factorization theorem f...
Article
We study bilinear operators acting on a product of Hilbert spaces of integrable functions—zero-valued for couples of functions whose convolution equals zero—that we call convolution-continuous bilinear maps. We prove a factorization theorem for them, showing that they factor through ℓ1. We also present some applications for the case when the range...
Article
In the study by Baliarsingh and Dutta [Internat. J.Anal., Vol.2014(2014), Article ID 786437], the authors computed the spectrum and the fine spectrum of the product operator G (u, v; Δ) over the sequence space ℓ1. The product operator G (u, v; Δ) over ℓ1 is defined by with xk = 0 for all k < 0, where x = (xk) ∈ ℓ1, and u and v are either constant...
Article
In this work, we classify and calculate spectra such as point spectrum, continuous spectrum and residual spectrum over sequences spaces ℒ∞, cℒ∞, c and c0 according to a new matrix operator W which is obtained by matrix product.

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