Averaging Operators and C(X)-Spaces with the Separable Projection Property
1976 ◽
Vol 28
(5)
◽
pp. 897-904
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Keyword(s):
The Banach space of bounded continuous real or complexvalued functions on a topological space X is denoted C(X). An averaging operator for an onto continuous function ϕ : X → Y is a bounded linear projection of C(X) onto the subspace ﹛ƒ ∈ C(X) : f is constant on each set ϕ -1(y) for y ∈ Y﹜. The projection constant p(ϕ) for an onto continuous map ϕ is the lower bound for the norms of all averaging operators for ϕ ﹛p(ϕ) = ∞ if there is no averaging operator for ϕ).
1977 ◽
Vol 29
(4)
◽
pp. 856-873
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1960 ◽
Vol 12
◽
pp. 686-693
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Keyword(s):
1990 ◽
Vol 32
(3)
◽
pp. 273-276
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Keyword(s):
1991 ◽
Vol 14
(3)
◽
pp. 611-614
◽
Lower bound estimates and separable solutions for homogeneous equations of evolution in Banach space
1982 ◽
Vol 43
(3)
◽
pp. 323-344
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2016 ◽
Vol 160
(3)
◽
pp. 413-421
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2020 ◽
pp. 241-249
Keyword(s):
1996 ◽
Vol 119
(3)
◽
pp. 545-560
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Keyword(s):