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Pontryagin duality for convergence groups of unimodular continuous functions. (English) Zbl 0528.54005

MSC:
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
22A99 Topological and differentiable algebraic systems
22D35 Duality theorems for locally compact groups
47L50 Dual spaces of operator algebras
58D99 Spaces and manifolds of mappings (including nonlinear versions of 46Exx)
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References:
[1] E. Binz: Continuous convergence on \(C(X)\). Lecture Notes in Mathematics 469 (1975), Springer Verlag Berlin. · Zbl 0306.54003
[2] E. Binz: Charaktergruppen von Gruppen von \(S^1\)-wertigen stetigen Funktionen. Categorical Topology. Lecture Notes in Mathematics 540 (1975), 43 - 92.
[3] E. Binz: On an extension of Pontryagins duality theory. General topology and its relations to modern analysis and algebra IV, part A: Invited papers. Prague 1976. Lecture Notes in Mathematics 609 (1977), 1 - 20.
[4] H. P. Butzmann: Dualitäten in \(C_c (X)\). Doctoral dissertation Mannheim 1971.
[5] H. P. Butzmann: Pontrjagin-Dualität für topologische Vektorräume. Arch. Math. 28 (1977), 632-637. · Zbl 0356.46006
[6] L. Fuchs: Abelian groups. Pergamon Press Oxford, 1960. · Zbl 0100.02803
[7] B. Müller: Locally precompact convergence vector spaces. Proceedings of the special session on convergence structures. Reno 1976, 155-172.
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