Заседание семинара РМЦ

Regional math­e­mat­i­cal cen­ter of South­ern Fed­eral Uni­ver­sity is pleased to invite you to the Sem­i­nar on analy­sis, dif­fer­en­tial equa­tions and math­e­mat­i­cal physics, which will be held on 29 Novem­ber 2018 at 15 :30 in the room 212.

The title of the lec­ture: Rep­re­sen­ta­tion and Clas­si­fi­ca­tion of Homo­ge­neous Poly­no­mi­als in Vec­tor Lat­tices. Lec­turer: Z. A. Kus­raeva. Regional math­e­mat­i­cal cen­ter South­ern Fed­eral University

Abstract

The report is devoted to the order prop­er­ties of homo­ge­neous poly­no­mi­als in vec­tor and Banach lat­tices. Despite the fact that the alge­braic and linear-​topological study of poly­no­mi­als has a long his­tory and is well rep­re­sented in lit­er­a­ture, the study of the prop­er­ties of poly­no­mi­als that depend on the inter­ac­tion between the norm and the order rela­tion has begun only recently. One of the cen­tral results states that each bounded orthog­o­nally addi­tive homo­ge­neous poly­no­mial defined on a vec­tor lat­tice, under some addi­tional assump­tions, can be rep­re­sented as the com­po­si­tion of a bounded lin­ear oper­a­tor and a spe­cial homo­ge­neous poly­no­mial which plays the role of the expo­nen­ti­a­tion absent in an arbi­trary vec­tor lat­tice. Appli­ca­tions of this fact are given to the prob­lems of dom­i­nance and inte­gral rep­re­sen­ta­tion of homo­ge­neous poly­no­mi­als. Par­tic­u­lar atten­tion is paid to the prob­lem of a com­plete descrip­tion of dis­joint­ness pre­serv­ing homo­ge­neous poly­no­mi­als. As an aux­il­iary tool, fac­tor­iza­tion of order bounded dis­joint­ness pre­serv­ing mul­ti­lin­ear oper­a­tors is used.

Региональный научно-​образовательный математический центр проводит еженедельный научно-​исследовательский семинар по анализу, дифференциальным уравнениям и математической физике.

Время и место проведения: четверг 15:30 – 17:00, ауд. 212 мехмата ЮФУ.

29 ноября, в рамках семинара состоится лекция

Rep­re­sen­ta­tion and Clas­si­fi­ca­tion of Homo­ge­neous Poly­no­mi­als in Vec­tor Lattices

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