[Turkmath:5648] (no subject)

[Allaberen Ashyralyev]

Dear Colleagues!

You are cordially invited to the Weekly Online Seminar “Analysis and
Applied Mathematics” on

Date: Tuesday, May 31, 2022

Time: 14.00-15.00 (Istanbul) = 13.00-14.00 (Ghent) = 17.00-18.00 (Almaty)

Zoom link:
https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaH-lDaVYrN3l5bzJVQT09,
Conference ID: 667 827 0445, Access code: 1

Speaker: Prof. Dr. Tunç Mısırlıoğlu
Istanbul Kültür University, Istanbul, Turkey
 Title: Modulus of Non-SemiCompact Convexity
  Abstract: The talk will consist of two parts. In the first part we
develop the cornerstone the-orem given in [2, Proposition 2.1], which
states that for a Banach lattice E with order contin-uous norm if D is a
PL-compact subset of E then χ(D)=ρ(D), by showing that if a Banach lattice
F has the positive Schur property then ρ(D)= ω(D) for any norm bounded
subset D of F. Here, χ, ρ, and ω are the Hausdorff measure of
non-compactness, the measure of non-semicompactness introduced in [2], and
the measure of weak non-compactness, respectively. Secondly, we in-troduce
the notion of the modulus of non-semicompact convexity in Banach lattices
defined with the help of the measure of non-semicompactness in Banach
lattices. We extend the results obtained in [1] by showing that the modulus
of non-semicompact convexity is continu-ous and has some extra properties
in reflexive Banach lattices.
References:
[1] Y. Banas, On modulus of noncompact convexity and its properties. Canad.
Math. Bull., 30 (1987), 186-192.
[2] B. de Pagter & A.R. Schep, Measures of non-compactness of operators on
Banach lat-tices, J. Funct. Anal., 78 (1988), 31-55.

Abstracts and forthcoming talks can be found on our webpage
https://sites.google.com/view/aam-seminars

Kind regards,
*Prof. Dr. Allaberen Ashyralyev *
*Department of Mathematics, Bahcesehir University, 34353, Istanbul, Turkey*
*  and **Near East University, Lefkoşa(Nicosia), Mersin 10 Turkey*
*Peoples' Friendship University of Russia (RUDN University),** Ul Miklukho
Maklaya 6, Moscow 117198, Russian Federation *
*Institute of Mathematics and Mathematical Modelling, 050010, Almaty,
Kazakhstan*
*e-mail: allaberen.ashyralyev at eng.bau.edu.tr
<allaberen.ashyralyev at neu.edu.tr> and **aallaberen at gmail.com
<aallaberen at gmail.com> *
 http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev

https://sites.google.com/view/aam-seminars
https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml
*icaam-online.org <http://icaam-online.org>*

*https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1
<https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1>*
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