KFU. Card publication. Total convex structures and ultraproducts

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

TOTAL CONVEX STRUCTURES AND ULTRAPRODUCTS

Form of presentation

Conference proceedings in Russian journals and collections

Year of publication

2022

Язык

английский

Authors, employees of KFU

Khaliullin Samigulla Garifullovich, author

Bibliographic description in the original language

S.G. Haliullin. Total convex structures and ultraproducts. // Proceedings of the Mathematical Center named after N.I. Lobachevsky. V.63. International Conference ”Complex Analysis and Related Topics”. Abstracts. – Kazan: KFU, 2022. – V. 63. – p. 25

Annotation

Proceedings of the Mathematical Center named after N.I. Lobachevsky. V.63. International Conference ”Complex Analysis and Related Topics”. Abstracts.

Keywords

convex structure, ultraproducts

The name of the journal

Proceedings of the Mathematical Center named after N.I. Lobachevsky. V.63. International Conference ”Complex Analysis and Related Topics”. Abstracts.

URL

https://drive.google.com/file/d/183x3a7YG8yxYT4JimsQUuDw20uWAN4tG/view

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=273553&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Khaliullin Samigulla Garifullovich	ru_RU
dc.date.accessioned	2022-01-01T00:00:00Z	ru_RU
dc.date.available	2022-01-01T00:00:00Z	ru_RU
dc.date.issued	2022	ru_RU
dc.identifier.citation	S.G. Haliullin. Total convex structures and ultraproducts. // Proceedings of the Mathematical Center named after N.I. Lobachevsky. V.63. International Conference ”Complex Analysis and Related Topics”. Abstracts. – Kazan: KFU, 2022. – V. 63. – p. 25	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=273553&p_lang=2	ru_RU
dc.description.abstract	Proceedings of the Mathematical Center named after N.I. Lobachevsky. V.63. International Conference ”Complex Analysis and Related Topics”. Abstracts.	ru_RU
dc.description.abstract	It is well known that the set of states of a certain quantum mechanical system is closed from the point of view of the operational approach when mixtures or convex combinations are formed. That is, if s1 and s2 are states, then so is λs1 + (1 − λ)s2, where 0 < λ < 1. We will can easy to deﬁne a convex combination of elements in linear space, but unfortunately linear space is artiﬁcial and lacks physical meaning for states. Only the operation of forming mixtures of states has meaning. For this reason, an abstract deﬁnition of mixtures is deﬁned that is independent of the concept of linearity. We will called this framework a convex structure. Ultraproducts of the sequences of these structures are also considered.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	convex structure	ru_RU
dc.subject	ultraproducts	ru_RU
dc.title	Total convex structures and ultraproducts	ru_RU
dc.type	Conference proceedings in Russian journals and collections	ru_RU