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Rosenthal-Banach compact
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Rosenthal-Banach compact をテンプレートにして作成
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開始行:
*Definition [#s812c5be]
-A compact Hausdorff set K is called Rosenthal-Banach compact, if there is a polish space X and a Banach space E so that K is homeomorphic with a compact subset of B_1(X,E) in the topology of [[pointwise-weak convergence]], where B_1(X,E) i
*Property [#ke939f15]
-Every classical [[Rosenthal compact]] is Rosenthal-Banach compact (put E=R).
-Every [[Eberlein compact]] is Rosenthal-Banach compact (take for M a one point set).
-Every [[Gul'ko compact]] is a Rosenthal-Banach compact.
*Reference [#gf420d26]
-Mercourakis, S. and Stamati, E., ''Compactness in the first Baire class and Baire-1 operators.'' Serdica Math. J. 28 (2002), no. 1, 1--36.
終了行:
*Definition [#s812c5be]
-A compact Hausdorff set K is called Rosenthal-Banach compact, if there is a polish space X and a Banach space E so that K is homeomorphic with a compact subset of B_1(X,E) in the topology of [[pointwise-weak convergence]], where B_1(X,E) i
*Property [#ke939f15]
-Every classical [[Rosenthal compact]] is Rosenthal-Banach compact (put E=R).
-Every [[Eberlein compact]] is Rosenthal-Banach compact (take for M a one point set).
-Every [[Gul'ko compact]] is a Rosenthal-Banach compact.
*Reference [#gf420d26]
-Mercourakis, S. and Stamati, E., ''Compactness in the first Baire class and Baire-1 operators.'' Serdica Math. J. 28 (2002), no. 1, 1--36.
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