Sizes of quotient spaces of certain function algebras on topological semigroups
Heneri A. M. Dzinotyiweyi (1985)
Compositio Mathematica
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Heneri A. M. Dzinotyiweyi (1985)
Compositio Mathematica
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Masiha, Hashem (2008)
International Journal of Mathematics and Mathematical Sciences
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Ross Stokke (2004)
Studia Mathematica
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We study the relationship between the classical invariance properties of amenable locally compact groups G and the approximate diagonals possessed by their associated group algebras L¹(G). From the existence of a weak form of approximate diagonal for L¹(G) we provide a direct proof that G is amenable. Conversely, we give a formula for constructing a strong form of approximate diagonal for any amenable locally compact group. In particular we have a new proof of Johnson's Theorem: A locally...
Heneri A. M. Dzinotyiweyi (1985)
Compositio Mathematica
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Anthony To-Ming Lau (1983)
Fundamenta Mathematicae
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U. B. Tewari (2007)
Colloquium Mathematicae
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Let I = (0,∞) with the usual topology. For x,y ∈ I, we define xy = max(x,y). Then I becomes a locally compact commutative topological semigroup. The Banach space L¹(I) of all Lebesgue integrable functions on I becomes a commutative semisimple Banach algebra with order convolution as multiplication. A bounded linear operator T on L¹(I) is called a multiplier of L¹(I) if T(f*g) = f*Tg for all f,g ∈ L¹(I). The space of multipliers of L¹(I) was determined by Johnson and Lahr. Let X be a...
Miri, M.R., Pourabdollah, M.A. (2000)
International Journal of Mathematics and Mathematical Sciences
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Nasr-Isfahani, A. (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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Bárcenas, Diómedes, Mármol, Luis Gerardo (2008)
Abstract and Applied Analysis
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E. Glasner, M. Megrelishvili (2008)
Fundamenta Mathematicae
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For a topological group G we introduce the algebra SUC(G) of strongly uniformly continuous functions. We show that SUC(G) contains the algebra WAP(G) of weakly almost periodic functions as well as the algebras LE(G) and Asp(G) of locally equicontinuous and Asplund functions respectively. For the Polish groups of order preserving homeomorphisms of the unit interval and of isometries of the Urysohn space of diameter 1, we show that SUC(G) is trivial. We introduce the notion of fixed point...
Khan, M.D. (1979)
Portugaliae mathematica
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Lau, Anthony To-Ming (2010)
Fixed Point Theory and Applications [electronic only]
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