|
Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, Issue 9/1(110), Pages 49–57
(Mi vsgu399)
|
|
|
|
This article is cited in 3 scientific papers (total in 3 papers)
Mathematics
Topological freedom for classical and quantum normed modules
S. M. Shteiner The Dept. of Theory of Functions and Functional Analysis, Lomonosov Moscow State University, Moscow, 119991, Russian Federation
Abstract:
In the article questions, connected with the notion of topological projectivity are viewed. It is shown that this type of projectivity can be represented as a partial case of certain general-categorical scheme, based on a notion of framed category. Apart from that topologically free ‘classical’, as well as quantum normed modules are described. Analogous results were obtained for topological injectivity.
Keywords:
topological freedom, topological cofreedom, semilinear normed space, quantum normed space.
Full text:
PDF file (135 kB)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
PDF file
HTML file
UDC:
517.986.22 Received: 18.11.2013 Revised: 19.12.2013
Citation:
S. M. Shteiner, “Topological freedom for classical and quantum normed modules”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, no. 9/1(110), 49–57
Citation in format AMSBIB
\Bibitem{Sht13}
\by S.~M.~Shteiner
\paper Topological freedom for classical and quantum normed modules
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2013
\issue 9/1(110)
\pages 49--57
\mathnet{http://mi.mathnet.ru/vsgu399}
Linking options:
http://mi.mathnet.ru/eng/vsgu399 http://mi.mathnet.ru/eng/vsgu/y2013/i91/p49
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
N. T. Nemesh, S. M. Shteiner, “Metricheskaya i topologicheskaya svoboda dlya sekventsialnykh operatornykh prostranstv”, Vestn. SamGU. Estestvennonauchn. ser., 2014, no. 10(121), 55–67
-
N. T. Nemesh, “Metrically and Topologically Projective Ideals of Banach Algebras”, Math. Notes, 99:4 (2016), 524–533
-
N. T. Nemesh, “The geometry of projective, injective, and flat Banach modules”, J. Math. Sci., 237:3 (2019), 445–459
|
Number of views: |
This page: | 103 | Full text: | 50 | References: | 16 |
|