Isomorphism of multiplicative and additive stochastic semigroups of almost linear operators with conditions of continuity

We prove a one-to-one correspondence between sets of multiplicative and additive discontinuous evolutionary systems of strong almost linear operators having a bounded variation.

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Дата:1991
Автори: Laytambur , K. N., Лятамбур , К. Н.
Формат: Стаття
Мова:Російська
Опубліковано: Institute of Mathematics, NAS of Ukraine 1991
Онлайн доступ:https://umj.imath.kiev.ua/index.php/umj/article/view/9308
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Laytambur , K. N.
Лятамбур , К. Н.
author_facet Laytambur , K. N.
Лятамбур , К. Н.
author_sort Laytambur , K. N.
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datestamp_date 2025-06-19T08:20:09Z
description We prove a one-to-one correspondence between sets of multiplicative and additive discontinuous evolutionary systems of strong almost linear operators having a bounded variation.
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spelling umjimathkievua-article-93082025-06-19T08:20:09Z Isomorphism of multiplicative and additive stochastic semigroups of almost linear operators with conditions of continuity Изоморфизм мультипликативных и аддитивных стохастических полугрупп почти линейных операторов без условия непрерывности Laytambur , K. N. Лятамбур , К. Н. We prove a one-to-one correspondence between sets of multiplicative and additive discontinuous evolutionary systems of strong almost linear operators having a bounded variation. Доказано взаимно однозначное соответствие между множествами мультипликативных и аддитивных разрывных эволюционных систем сильных почти линейных операторов, удовлетворяющих условию ограниченности вариации. Доведено взаємно однозначну відповідність між множинами мультиплікативних і адитивних розривних еволюційних систем сильних майже лінійних операторів, що задовольняють умові обмеженості варіації. Institute of Mathematics, NAS of Ukraine 1991-01-18 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/9308 Ukrains’kyi Matematychnyi Zhurnal; Vol. 43 No. 1 (1991); 72-78 Український математичний журнал; Том 43 № 1 (1991); 72-78 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/9308/10483 Copyright (c) 1991 К. Н. Лятамбур
spellingShingle Laytambur , K. N.
Лятамбур , К. Н.
Isomorphism of multiplicative and additive stochastic semigroups of almost linear operators with conditions of continuity
title Isomorphism of multiplicative and additive stochastic semigroups of almost linear operators with conditions of continuity
title_alt Изоморфизм мультипликативных и аддитивных стохастических полугрупп почти линейных операторов без условия непрерывности
title_full Isomorphism of multiplicative and additive stochastic semigroups of almost linear operators with conditions of continuity
title_fullStr Isomorphism of multiplicative and additive stochastic semigroups of almost linear operators with conditions of continuity
title_full_unstemmed Isomorphism of multiplicative and additive stochastic semigroups of almost linear operators with conditions of continuity
title_short Isomorphism of multiplicative and additive stochastic semigroups of almost linear operators with conditions of continuity
title_sort isomorphism of multiplicative and additive stochastic semigroups of almost linear operators with conditions of continuity
url https://umj.imath.kiev.ua/index.php/umj/article/view/9308
work_keys_str_mv AT laytamburkn isomorphismofmultiplicativeandadditivestochasticsemigroupsofalmostlinearoperatorswithconditionsofcontinuity
AT lâtamburkn isomorphismofmultiplicativeandadditivestochasticsemigroupsofalmostlinearoperatorswithconditionsofcontinuity
AT laytamburkn izomorfizmmulʹtiplikativnyhiadditivnyhstohastičeskihpolugrupppočtilinejnyhoperatorovbezusloviânepreryvnosti
AT lâtamburkn izomorfizmmulʹtiplikativnyhiadditivnyhstohastičeskihpolugrupppočtilinejnyhoperatorovbezusloviânepreryvnosti