STRONGLY BOUNDED REPRESENTING MEASURES AND CONVERGENCE THEOREMS
Let K be a compact Hausdorff space, X a Banach space and C(K, X) the Banach space of all continuous functions f: K → X endowed with the supremum norm. In this paper we study weakly precompact operators defined on C(K, X).
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| Vydáno v: | Glasgow mathematical journal Ročník 52; číslo 3; s. 435 - 445 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Cambridge University Press
01.09.2010
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| ISSN: | 0017-0895, 1469-509X |
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| Abstract | Let K be a compact Hausdorff space, X a Banach space and C(K, X) the Banach space of all continuous functions f: K → X endowed with the supremum norm. In this paper we study weakly precompact operators defined on C(K, X). |
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| AbstractList | Let K be a compact Hausdorff space, X a Banach space and C(K, X) the Banach space of all continuous functions f: K [arrow right] X endowed with the supremum norm. In this paper we study weakly precompact operators defined on C(K, X). [PUBLICATION ABSTRACT] Let K be a compact Hausdorff space, X a Banach space and C(K, X) the Banach space of all continuous functions f: K → X endowed with the supremum norm. In this paper we study weakly precompact operators defined on C(K, X). Let K be a compact Hausdorff space, X a Banach space and C ( K, X ) the Banach space of all continuous functions f : K → X endowed with the supremum norm. In this paper we study weakly precompact operators defined on C ( K, X ). Let K be a compact Hausdorff space, X a Banach space and C(K, X) the Banach space of all continuous functions f: K 1 X endowed with the supremum norm. In this paper we study weakly precompact operators defined on C(K, X). |
| Author | GHENCIU, IOANA LEWIS, PAUL |
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| Cites_doi | 10.1002/mana.19891430125 10.4064/sm-17-2-151-164 10.1017/S0305004100062678 10.4153/CJM-1953-017-4 10.1017/S0017089500007655 10.1007/BF02761990 10.1007/BF01455797 10.1017/S0305004100075228 10.4064/sm-15-3-337-352 10.1002/mana.19921570109 10.1016/B978-1-4831-9762-3.50004-4 10.4064/sm-57-1-85-90 10.4064/ba54-3-6 10.2307/2374292 10.1016/0022-1236(69)90012-3 10.1007/BF02760458 10.1017/S0017089500009113 10.1017/S0305004100070584 10.1017/S030500410006919X 10.1007/BF01764125 10.4064/cm-78-1-1-17 10.1090/surv/015 10.1090/S0002-9947-1974-0338821-5 10.1007/978-1-4612-5200-9 |
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| References_xml | – ident: S0017089510000133_ref11 doi: 10.1002/mana.19891430125 – ident: S0017089510000133_ref9 doi: 10.4064/sm-17-2-151-164 – volume: 81 start-page: 693 year: 1987 ident: S0017089510000133_ref8 article-title: On weakly compact and unconditionally converging operators in spaces of vector-valued functions publication-title: Revista Real Acad. Madrid – volume: 84 start-page: 44 year: 1982 ident: S0017089510000133_ref29 article-title: A stability property of Banach spaces not containing a complemented copy of ℓ1 publication-title: Proc. Amer. Math. Soc. – ident: S0017089510000133_ref13 doi: 10.1017/S0305004100062678 – ident: S0017089510000133_ref25 doi: 10.4153/CJM-1953-017-4 – volume: 37 start-page: 467 year: 1989 ident: S0017089510000133_ref1 article-title: Weakly precompact and GSP operators on continuous function spaces publication-title: Bull. Polish Acad. Sci. Math. – ident: S0017089510000133_ref21 doi: 10.1017/S0017089500007655 – ident: S0017089510000133_ref31 doi: 10.1007/BF02761990 – ident: S0017089510000133_ref15 doi: 10.1007/BF01455797 – volume-title: Linear operators. Part I: General theory year: 1958 ident: S0017089510000133_ref20 – volume: 111 start-page: 143 year: 1992 ident: S0017089510000133_ref32 article-title: Continuous linear operators on C(K, X) and pointwise weakly precompact subsets of C(K, X) publication-title: Math. Proc. Camb. Phil. Soc. doi: 10.1017/S0305004100075228 – ident: S0017089510000133_ref4 doi: 10.4064/sm-15-3-337-352 – ident: S0017089510000133_ref6 doi: 10.1002/mana.19921570109 – ident: S0017089510000133_ref18 doi: 10.1016/B978-1-4831-9762-3.50004-4 – ident: S0017089510000133_ref28 doi: 10.4064/sm-57-1-85-90 – volume: 10 start-page: 641 year: 1962 ident: S0017089510000133_ref27 article-title: Banach spaces on which every unconditionally converging operator is weakly compact publication-title: Bull. Acad. Polon. Sci. Math. Astronom. Phys. – ident: S0017089510000133_ref24 doi: 10.4064/ba54-3-6 – volume: 21 start-page: 13 year: 1971 ident: S0017089510000133_ref19 article-title: On representation of linear operators on C0(T, X), Czechoslovak publication-title: Math. J. – ident: S0017089510000133_ref30 doi: 10.2307/2374292 – ident: S0017089510000133_ref7 doi: 10.1016/0022-1236(69)90012-3 – ident: S0017089510000133_ref12 doi: 10.1007/BF02760458 – ident: S0017089510000133_ref10 doi: 10.1017/S0017089500009113 – volume: 96 start-page: 50 year: 1986 ident: S0017089510000133_ref26 article-title: On the Dieudonné property for C(Ω, E) publication-title: Proc. Amer. Math. Soc. – ident: S0017089510000133_ref2 doi: 10.1017/S0305004100070584 – volume: 44 start-page: 283 year: 1974 ident: S0017089510000133_ref23 article-title: On a theorem of Pelczyinski publication-title: Proc. Amer. Math. Soc. – ident: S0017089510000133_ref3 doi: 10.1017/S030500410006919X – ident: S0017089510000133_ref22 doi: 10.1007/BF01764125 – ident: S0017089510000133_ref5 doi: 10.4064/cm-78-1-1-17 – ident: S0017089510000133_ref17 doi: 10.1090/surv/015 – ident: S0017089510000133_ref14 doi: 10.1090/S0002-9947-1974-0338821-5 – ident: S0017089510000133_ref16 doi: 10.1007/978-1-4612-5200-9 |
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| Title | STRONGLY BOUNDED REPRESENTING MEASURES AND CONVERGENCE THEOREMS |
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