Zobrazeno 1 - 10
of 330
pro vyhledávání: '"Sidney A. Morris"'
Publikováno v:
Axioms, Vol 11, Iss 3, p 118 (2022)
This article initiates the study of topological transcendental fields F which are subfields of the topological field C of all complex numbers such that F only consists of rational numbers and a nonempty set of transcendental numbers. F, with the topo
Externí odkaz:
https://doaj.org/article/0bd1d1d70744498fa45e0e507cb60cdc
Autor:
Karl H. Hofmann, Sidney A. Morris
Publikováno v:
Axioms, Vol 10, Iss 3, p 190 (2021)
This article surveys the development of the theory of compact groups and pro-Lie groups, contextualizing the major achievements over 125 years and focusing on some progress in the last quarter century. It begins with developments in the 18th and 19th
Externí odkaz:
https://doaj.org/article/36bfb5efa8e94bdeb0285834fcc4917b
Autor:
Sidney A. Morris, David T. Yost
Publikováno v:
Axioms, Vol 9, Iss 1, p 7 (2020)
The longstanding Banach−Mazur separable quotient problem asks whether every infinite-dimensional Banach space has a quotient (Banach) space that is both infinite-dimensional and separable. Although it remains open in general, an affirmative answer
Externí odkaz:
https://doaj.org/article/f467c28be4fa430d825a4dac5a802361
Autor:
Sidney A. Morris
Publikováno v:
Axioms, Vol 9, Iss 1, p 11 (2020)
Let E be any metrizable nuclear locally convex space and E ^ the Pontryagin dual group of E. Then the topological group E ^ has the tubby torus (that is, the countably infinite product of copies of the circle group) as a quotient group if and only if
Externí odkaz:
https://doaj.org/article/ed01a5c548e143a19537b7dc9218ff7a
Autor:
Saak S. Gabriyelyan, Sidney A. Morris
Publikováno v:
Journal of Function Spaces, Vol 2018 (2018)
If X and Y are Tychonoff spaces, let L(X) and L(Y) be the free locally convex space over X and Y, respectively. For general X and Y, the question of whether L(X) can be embedded as a topological vector subspace of L(Y) is difficult. The best results
Externí odkaz:
https://doaj.org/article/2162a848f6234ed0aeeb35a910621672
Autor:
Karl H. Hofmann, Sidney A. Morris
Publikováno v:
Axioms, Vol 4, Iss 3, Pp 294-312 (2015)
A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the formation of arbitrary products and closed subgroups and forms a compl
Externí odkaz:
https://doaj.org/article/2161743c437d441ba80d7c1fe243f0b8
Autor:
Arkady G. Leiderman, Sidney A. Morris
Publikováno v:
Axioms, Vol 8, Iss 1, p 3 (2018)
Separability is one of the basic topological properties. Most classical topological groups and Banach spaces are separable; as examples we mention compact metric groups, matrix groups, connected (finite-dimensional) Lie groups; and the Banach spaces
Externí odkaz:
https://doaj.org/article/ff0eb65117b74bfebc8ea88fdeb8db16
Autor:
Sidney A. Morris
Publikováno v:
Axioms, Vol 5, Iss 2, p 11 (2016)
n/a
Externí odkaz:
https://doaj.org/article/f81619cca9f941a3a95069d21c1d7694
Autor:
Karl H. Hofmann, Sidney A. Morris
The subject matter of compact groups is frequently cited in fields like algebra, topology, functional analysis, and theoretical physics. This book serves the dual purpose of providing a textbook on it for upper level graduate courses or seminars, and
Autor:
Sidney A. Morris
Publikováno v:
Bulletin of the American Mathematical Society. 58:107-118
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b30f8cf95e056163b52041edfc9a0838
https://doi.org/10.1090/bull/1698
https://doi.org/10.1090/bull/1698