Sizes of quotient spaces of certain function algebras on topological semigroups

Heneri A. M. Dzinotyiweyi

Compositio Mathematica (1985)

  • Volume: 55, Issue: 3, page 303-311
  • ISSN: 0010-437X

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Dzinotyiweyi, Heneri A. M.. "Sizes of quotient spaces of certain function algebras on topological semigroups." Compositio Mathematica 55.3 (1985): 303-311. <http://eudml.org/doc/89723>.

@article{Dzinotyiweyi1985,
author = {Dzinotyiweyi, Heneri A. M.},
journal = {Compositio Mathematica},
keywords = {nonseparable topological semigroups; locally compact topological group; radical},
language = {eng},
number = {3},
pages = {303-311},
publisher = {Martinus Nijhoff Publishers},
title = {Sizes of quotient spaces of certain function algebras on topological semigroups},
url = {http://eudml.org/doc/89723},
volume = {55},
year = {1985},
}

TY - JOUR
AU - Dzinotyiweyi, Heneri A. M.
TI - Sizes of quotient spaces of certain function algebras on topological semigroups
JO - Compositio Mathematica
PY - 1985
PB - Martinus Nijhoff Publishers
VL - 55
IS - 3
SP - 303
EP - 311
LA - eng
KW - nonseparable topological semigroups; locally compact topological group; radical
UR - http://eudml.org/doc/89723
ER -

References

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  2. [2] A.C. and J.W. Baker: Algebras of measures on a locally compact semigroup III. J. Lond. Math. Soc.4 (1972) 685-695. Zbl0232.43002MR306806
  3. [3] J.W. Baker and R.J. Butcher: The Stone-Cech compactification of a topological Semigroup. Math. Proc. Camb. Phil.80 (1976) 103-117. Zbl0329.22003MR409711
  4. [4] J.F. Berglund, H.D. Hunghenn and P. Milnes: Compact right topological semigroups and generalizations of almost periodicity. Springer-Verlag lecture notes663 (1978). Zbl0406.22005MR513591
  5. [5] R.B. Burchel, Weakly almost periodic functions on semigroups. New York: Gordon and Breach (1970). Zbl0192.48602MR263963
  6. [6] Ching Chou: Weakly almost periodic functions and almost convergent functions on a group. Trans. Amer. Math. Soc.206 (1975) 175-200. Zbl0303.43017MR394062
  7. [7] P. Civin and B. Yood: The second conjugate space of a Banach algebra as an algebra. Pac. J. math.11 (1961) 847-870. Zbl0119.10903MR143056
  8. [8] H.A.M. Dzinotyiweyi: Weakly almost periodic functions and the irregularity of multiplication in semigroup algebras. Math. Scand.46 (1980) 157-172. Zbl0456.22004MR585239
  9. [9] H.A.M. Dzinotyiweyi: Nonseparability of Quotient spaces of function algebras on topological semigroups. Trans. Amer. Math. Soc.272 (1982) 223-235. Zbl0498.43004MR656487
  10. [10] E.E. Granirer: The radical of L∞(G)*. Proc. Amer. Math. Soc.41 (1973) 321-324. Zbl0278.43009
  11. [11] A. Grothendieck: Critères de compacité dans les espaces fonctionnels generaux. Amer. J. Math.74 (1952) 168-186. Zbl0046.11702MR47313
  12. [12] S.L. Gulick: Commutativity and ideals in the biduals of topological algebras. Pac. J. Math.18 (1966) 121-137. Zbl0198.17901MR194912
  13. [13] E. Hewitt and K.A. Ross: Abstract harmonic analysis. Vol. I. Berlin: Springer-Verlag (1963). Zbl0213.40103MR551496
  14. [14] C. Rickart: General theory of Banach algebras. University series in higher mathematics. Princeton, N.J.: Van Nostrand, (1960). Zbl0095.09702MR115101
  15. [15] G.G. Sleijpen: Locally compact semigroups and continuous translations of measures. Proc. Iond. Math. Soc.37 (1978) 75-97. Zbl0371.22004MR499939
  16. [16] G.L.G. Sleijpen: Emaciated sets and measures with continuous translations. Ibid98-119. Zbl0371.22005MR499940
  17. [17] B.B. Wells, Jr.: Uncomplemented function algebras. Studia mathematica T. XXX11 (1969) 41-46. Zbl0174.18801MR241899

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