Operator-norm Trotter product formula on Banach spaces
- Авторы: Загребнов В.А.1,2,3
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Учреждения:
- Institut de Mathématiques de Marseille
- Aix-Marseille Université
- Institut de Mathématiques de Marseille (I2M, UMR 7373), Aix-Marseille Université–Centre National de la Recherche Scientifique
- Выпуск: Том 87, № 5 (2023)
- Страницы: 99-123
- Раздел: Статьи
- URL: https://bakhtiniada.ru/1607-0046/article/view/140432
- DOI: https://doi.org/10.4213/im9370
- ID: 140432
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Аннотация
Proof of the operator-norm convergent Trotter product formula on a Banach space is unexpectedly elaborate and a few of known results are based on assumption that at least one of the semigroups involved into this formula is holomorphic. Here we present an example of the operator-norm convergent Trotter product formula on a Banach space, where this condition is relaxed to demand that involved semigroups are contractive.Bibliography: 21 titles.
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Об авторах
Валентин Анатольевич Загребнов
Institut de Mathématiques de Marseille; Aix-Marseille Université; Institut de Mathématiques de Marseille (I2M, UMR 7373), Aix-Marseille Université–Centre National de la Recherche Scientifique
Email: vzagrebnov@gmail.com
доктор физико-математических наук, профессор
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