scholarly journals Linear topologies on Z are not Mackey topologies

2012 ◽  
Vol 216 (6) ◽  
pp. 1340-1347 ◽  
Author(s):  
Lydia Außenhofer ◽  
Daniel de la Barrera Mayoral
Keyword(s):  
Mackey Topologies

scholarly journals Extending Edgar's ordering to locally convex spaces

1992 ◽  
Vol 34 (2) ◽  
pp. 175-188
Author(s):  
Neill Robertson
Keyword(s):  
Convex Space ◽  
Dual Pair ◽  
Locally Convex Space ◽  
Vector Spaces ◽  
Locally Convex Spaces ◽  
Continuous Linear ◽  
Linear Functionals ◽  
Hausdorff Topological Vector Space ◽  
Locally Convex ◽  
Mackey Topologies

By the term “locally convex space”, we mean a locally convex Hausdorff topological vector space (see [17]). We shall denote the algebraic dual of a locally convex space E by E*, and its topological dual by E′. It is convenient to think of the elements of E as being linear functionals on E′, so that E can be identified with a subspace of E′*. The adjoint of a continuous linear map T:E→F will be denoted by T′:F′→E′. If 〈E, F〈 is a dual pair of vector spaces, then we shall denote the corresponding weak, strong and Mackey topologies on E by α(E, F), β(E, F) and μ(E, F) respectively.

scholarly journals Vector measures and Mackey topologies

2012 ◽  
Vol 23 (1-2) ◽  
pp. 113-122 ◽  
Author(s):  
Marian Nowak
Keyword(s):  
Vector Measures ◽  
Mackey Topologies

Strongly Mackey topologies and Radon vector measures

2020 ◽  
Vol 77 (3) ◽  
pp. 283-297
Author(s):  
Marian Nowak
Keyword(s):  
Vector Measures ◽  
Mackey Topologies

Mackey topologies which are locally convex Riesz topologies

1972 ◽  
Vol 39 (1) ◽  
pp. 105-119 ◽  
Author(s):  
L. C. Moore, Jr. ◽  
James C. Reber
Keyword(s):  
Locally Convex ◽  
Mackey Topologies

scholarly journals A note on Mackey topologies on Banach spaces

2017 ◽  
Vol 445 (1) ◽  
pp. 944-952 ◽  
Author(s):  
A.J. Guirao ◽  
V. Montesinos ◽  
V. Zizler
Keyword(s):  
Banach Spaces ◽  
Mackey Topologies

scholarly journals BORNOLOGICAL COUNTABLE ENLARGEMENTS

2003 ◽  
Vol 46 (1) ◽  
pp. 35-44 ◽  
Author(s):  
Ian Tweddle ◽  
S. A. Saxon
Keyword(s):  
Subject Classification ◽  
Bornological Space ◽  
Mackey Topologies

AbstractWe show that for a non-flat bornological space there is always a bornological countable enlargement; moreover, when the space is non-flat and ultrabornological the countable enlargement may be chosen to be both bornological and barrelled. It is also shown that countable enlargements for barrelled or bornological spaces are always Mackey topologies, and every quasibarrelled space that is not barrelled has a quasibarrelled countable enlargement.AMS 2000 Mathematics subject classification: Primary 46A08; 46A20

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