Complemented spaces of operators

• Autorzy: Bator E. M. , Lewis P. W.
• Języki publikacji: EN

Abstrakty

EN

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

EN

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

PL

operator zwarty; podprzestrzeń uzupełniona; przestrzeń operatorów; słaba zwartość operatorów

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• 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.