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Compactness in locally compact groups. (English) Zbl 0263.22006


MSC:

22D10 Unitary representations of locally compact groups
22A99 Topological and differentiable algebraic systems
43A35 Positive definite functions on groups, semigroups, etc.
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References:

[1] Klaus Bichteler, Locally compact topologies on a group and the corresponding continuous irreducible representations, Pacific J. Math. 31 (1969), 583 – 593. · Zbl 0216.34403
[2] H. H. Corson and I. Glicksberg, Compactness in \?\?\?(\?,\?), Canad. J. Math. 22 (1970), 164 – 170. · Zbl 0203.55501 · doi:10.4153/CJM-1970-019-1
[3] John Ernest, A strong duality theorem for separable locally compact groups, Trans. Amer. Math. Soc. 156 (1971), 287 – 307. · Zbl 0218.22011
[4] Irving Glicksberg, Uniform boundedness for groups, Canad. J. Math. 14 (1962), 269 – 276. · Zbl 0109.02001 · doi:10.4153/CJM-1962-017-3
[5] A. Grothendieck, Critères de compacité dans les espaces fonctionnels généraux, Amer. J. Math. 74 (1952), 168 – 186 (French). · Zbl 0046.11702 · doi:10.2307/2372076
[6] J. L. Kelley and Isaac Namioka, Linear topological spaces, With the collaboration of W. F. Donoghue, Jr., Kenneth R. Lucas, B. J. Pettis, Ebbe Thue Poulsen, G. Baley Price, Wendy Robertson, W. R. Scott, Kennan T. Smith. The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J., 1963. · Zbl 0115.09902
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