Czasopismo
2008
|
Vol. 56, no 3-4
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239-256
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
Results of Emmanuele and Drewnowski are used to study the containment of c0 in the space Kw* (X*, Y), as well as the complementation of the space Kw* (X*,Y) of w*-w compact operators in the space Lw*(X*, Y) of w*-w operators from X* to Y.
Rocznik
Tom
Strony
239-256
Opis fizyczny
Bibliogr. 32 poz.
Twórcy
autor
autor
- Department of Mathematics, University of Wisconsin-River Falls River Falls, WI 54022-5001, U.S.A., ioana.ghenciu@uwrf.edu
Bibliografia
- [1] K. Andrews, Dunford-Pettis sets in the space of Bochner integrable functions, Math. Ann. 241 (1979), 35-41.
- [2] E. Bator and P. Lewis, Complemented spaces of operators, Bull. Polish Acad. Sci. Math. 50 (2002), 413-416.
- [3] C. Bessaga and A. Pełczyński, On bases and unconditional convergence of series in Banach spaces, Studia Math. 17 (1958), 151-164.
- [4] J. Bourgain and J. Diestel, Limited operators and strict cosingularity, Math. Nachr. 119 (1984), 55-58.
- [5] J. Diestel, Sequences and Series in Banach Spaces, Springer, 1984.
- [6] —, A survey of results related to the Dunford-Pettis property, in: Contemp. Math. 2, Amer. Math. Soc., 1980, 15-60.
- [7] J. Diestel and J. J. Uhl, Jr., Vector Measures, Amer. Math. Soc., 1977.
- [8] L. Drewnowski, Copies of l∞ in an operator space, Math. Proc. Cambridge Philos. Soc. 108 (1990), 523-526.
- [9] —, On Banach spaces with the Gelfand-Phillips property, Math. Z. 193 (1986), 405-411.
- [10] N. Dunford and J. T. Schwartz, Linear Operators. Part I, General Theory, Inter-science Publ., New York, 1958.
- [11] G. Emmanuele, A remark on the containment of C0 in spaces of compact operators, Math. Proc. Cambridge Philos. Soc. Ill (1992), 331-335.
- [12] —, Remarks on the uncomplemented subspace W(E,F), J Funct. Anal. 99 (1991), 125-130.
- [13] —, About the position of Kω* (X*,Y) inside L ω* (X*,Y), Atti Sem. Mat. Fis. Univ. Modena 42 (1994), 123-133.
- [14] —, On the containment of c0 by spaces of compact operators, Bull. Sci. Math. 115 (1991), 177-184.
- [15] —, Answer to a question by M. Feder about K(X,Y), Rev. Mat. Univ. Complut. Madrid 6 (1993), 263-266.
- [16] G. Emmanuele and K. John, Uncomplementability of spaces of compact operators in larger spaces of operators, Czechoslovak Math. J. 47 (1997), 19-31.
- [17] M. Feder, On the non-existence of a projection onto the space of compact operators, Canad. Math. Bull. 25 (1982), 78-81.
- [18] —, On subspaces with an unconditional basis and spaces of operators, Illinois J. Math. 24 (1980), 196-205.
- [19] I. Ghenciu, Complemented spaces of operators, Proc. Amer. Math. Soc. 133 (2005), 2621-2623.
- [20] I. Ghenciu and P. Lewis, Dunford-Pettis properties and spaces of operators, Canad. Math. Bull., to appear.
- [21] —, —, The Dunford-Pettis property, the Gelfand-Phillips property, and L-sets, Colloq. Math. 106 (2006), 311-324.
- [22] —, —, Strong Dunford-Pettis sets and spaces of operators, Monatsh. Math. 144 (2005), 275-284.
- [23] N. Kalton, Spaces of compact operators, Math. Ann. 208 (1974), 267-278.
- [24] E. H. Lacey, The Isometric Theory of Classical Banach Spaces, Springer, New York, 1974.
- [25] P. Lewis, Spaces of operators and c0, Studia Math. 145 (2001), 213-218.
- [26] J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces, I, Ergeb. Math. Grenzgeb. 92, Springer, Berlin, 1977.
- [27] A. Pełczyński, On Banach spaces containing L1(μ), Studia Math. 30 (1968), 231-246.
- [28] H. Rosenthal, On relatively disjoint families of measures, with some applications to Banach space theory, ibid. 37 (1970), 13-36.
- [29] W. Ruess, Duality and geometry of spaces of compact operators, in: Functional Analysis: Surveys and Recent Results III (Paderborn, 1983), North-Holland Math. Stud. 90, North-Holland, 1984, 59-78.
- [30] T. Schlumprecht, Limited sets in Banach spaces, Dissertation, Munich, 1987.
- [31] A. E. Tong and D. R. Wilken, The uncomplemented subspace K(E, F), Studia Math. 37 (1971), 227-236.
- [32] I. Singer, Bases in Banach Spaces II, Springer, Berlin, 1981.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0035-0007