Anatolij Nikolaevich Sherstnev (on 80th birthday anniversary)
The paper describes the biography and the main scientific achievements of Professor Anatolij Nikolaevich Sherstnev. The scientific interests of A.N. Sherstnev are associated with probabilistic metric and normed spaces, as well as with the non-commutative theory of measure and integral. He was the...
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2018-09-01
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| Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
| Online Access: | https://kpfu.ru/anatolij-nikolaevich-sherstnev-on-80th-birthday-403863.html |
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| _version_ | 1846146047324192768 |
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| author | A.M. Bikchentaev S.R. Nasyrov E.A. Turilova |
| author_facet | A.M. Bikchentaev S.R. Nasyrov E.A. Turilova |
| author_sort | A.M. Bikchentaev |
| collection | DOAJ |
| description | The paper describes the biography and the main scientific achievements of Professor Anatolij Nikolaevich Sherstnev.
The scientific interests of A.N. Sherstnev are associated with probabilistic metric and normed spaces, as well as with the non-commutative theory of measure and integral. He was the first to suggest that bilinear forms should be used for solving important problems of the general theory of measure on projectors of von Neumann algebras. The fruitful ideas allowed him and his followers to advance the general theory of non-commutative integration in operator algebras in various directions. In particular, the scales of Lp-spaces of integrable bilinear forms were constructed, the theory of conditional expectation in the indicated spaces was developed, possibility of generalizations of the main constructions to the case of Jordan algebras was investigated. Furthermore, some important problems in construction of unbounded measures on projectors of von Neumann algebras were solved.
A.N. Sherstnev published over 100 research works, including the well-known monographs and textbooks. In 1974, he organized the interuniversity scientific seminar "Operator Algebras and Applications''. In 1973–1998, he was the head of the Department of Mathematical Analysis at Kazan State University. |
| format | Article |
| id | doaj-art-ab16a9210dc54429be50e62048f761a5 |
| institution | Kabale University |
| issn | 2541-7746 2500-2198 |
| language | English |
| publishDate | 2018-09-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета: Серия Физико-математические науки |
| spelling | doaj-art-ab16a9210dc54429be50e62048f761a52024-12-02T04:53:57ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982018-09-011603590598Anatolij Nikolaevich Sherstnev (on 80th birthday anniversary)A.M. Bikchentaev0S.R. Nasyrov1E.A. Turilova2Kazan Federal University, Kazan, 420008 RussiaKazan Federal University, Kazan, 420008 RussiaKazan Federal University, Kazan, 420008 RussiaThe paper describes the biography and the main scientific achievements of Professor Anatolij Nikolaevich Sherstnev. The scientific interests of A.N. Sherstnev are associated with probabilistic metric and normed spaces, as well as with the non-commutative theory of measure and integral. He was the first to suggest that bilinear forms should be used for solving important problems of the general theory of measure on projectors of von Neumann algebras. The fruitful ideas allowed him and his followers to advance the general theory of non-commutative integration in operator algebras in various directions. In particular, the scales of Lp-spaces of integrable bilinear forms were constructed, the theory of conditional expectation in the indicated spaces was developed, possibility of generalizations of the main constructions to the case of Jordan algebras was investigated. Furthermore, some important problems in construction of unbounded measures on projectors of von Neumann algebras were solved. A.N. Sherstnev published over 100 research works, including the well-known monographs and textbooks. In 1974, he organized the interuniversity scientific seminar "Operator Algebras and Applications''. In 1973–1998, he was the head of the Department of Mathematical Analysis at Kazan State University.https://kpfu.ru/anatolij-nikolaevich-sherstnev-on-80th-birthday-403863.html |
| spellingShingle | A.M. Bikchentaev S.R. Nasyrov E.A. Turilova Anatolij Nikolaevich Sherstnev (on 80th birthday anniversary) Учёные записки Казанского университета: Серия Физико-математические науки |
| title | Anatolij Nikolaevich Sherstnev (on 80th birthday anniversary) |
| title_full | Anatolij Nikolaevich Sherstnev (on 80th birthday anniversary) |
| title_fullStr | Anatolij Nikolaevich Sherstnev (on 80th birthday anniversary) |
| title_full_unstemmed | Anatolij Nikolaevich Sherstnev (on 80th birthday anniversary) |
| title_short | Anatolij Nikolaevich Sherstnev (on 80th birthday anniversary) |
| title_sort | anatolij nikolaevich sherstnev on 80th birthday anniversary |
| url | https://kpfu.ru/anatolij-nikolaevich-sherstnev-on-80th-birthday-403863.html |
| work_keys_str_mv | AT ambikchentaev anatolijnikolaevichsherstnevon80thbirthdayanniversary AT srnasyrov anatolijnikolaevichsherstnevon80thbirthdayanniversary AT eaturilova anatolijnikolaevichsherstnevon80thbirthdayanniversary |