Complemented spaces of operators

Tytuł artykułu

Autorzy

Bator E. M. , Lewis P. W.

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Języki publikacji

Abstrakty

The complementation of various classes of operators in the space L(E, F) of bounded linear operators between Banach spaces E and F is studied.

Słowa kluczowe

compact operators complemented subspaces spaces of operators unconditionallly converging operators weakly compact operators

operator zwarty podprzestrzeń uzupełniona przestrzeń operatorów słaba zwartość operatorów

Wydawca

Instytut Matematyczny PAN

Czasopismo

Rocznik

2002

Tom

Vol. 50, no 4

Strony

413--416

Opis fizyczny

Bibliogr. 12 poz.

Twórcy

autor

Bator E. M.

Department of Mathematics, University of North Texas, Box 311430, Denton, Texas 76203-1430, USA

autor

Lewis P. W.

Department of Mathematics, University of North Texas, Box 311430, Denton, Texas 76203-1430, USA

Bibliografia

[1] D. Arterburn, R. Whitley, Projections in the space of bounded linear operators, Pacific J. Math., 15 (1965) 739-746.
[2] J. Diestel, Sequences and series in Banach spaces, Grad. Texts in Math., no 92, Springer-Verlag, New York 1984.
[3] G. Emmanuele, Remarks on the uncomplemented subspace W (E, F), J. Funct. Anal., 99 (1991) 125-130.
[4] G. Emmanuele, A remark on the containment of c0 in spaces of compact operators, Math. Proc. Cambridge Phil. Soc., 111 (1992) 331-335.
[5] G. Emmanuele, K. John, Uncomplementability of spaces of compact operators in larger spaces of operators, Czechoslovak Math. J., 47 (1997) 19-31.
[6] M. Feder, On subspaces of spaces with an unconditional basis and spaces of operators, Illinois J. Math., 24 (1980) 196-205.
[7] M. Feder, On the non-existence of a projection onto the spaces of compact operators, Canad. Math. Bull., 25 (1982) 78-81.
[8] J. Hagler, W. B. Johnson, On Banach spaces whose dual balls are not weak* sequentially compact, Israel J. Math., 28 (1977) 325-330.
[9] K. John, On the uncomplemented subspace K (X, Y), Czechoslovak Math. J., 42 (1992) 167-173.
[10] N. Kaiton, Spaces of compact operators, Math. Ann., 208 (1974) 267-278.
[11] P. Lewis, Spaces of operators and c0, Studia Math., 145 (3) (2001) 213-218.
[12] E. Thorp, Projections onto the subspace of compact operators, Pac. J. Math., 10 (1960) 693-696.

Typ dokumentu

Bibliografia

Identyfikator YADDA

bwmeta1.element.baztech-article-BAT2-0001-0264