Complemented spaces of operators
HTML articles powered by AMS MathViewer
- by Ioana Ghenciu
- Proc. Amer. Math. Soc. 133 (2005), 2621-2623
- DOI: https://doi.org/10.1090/S0002-9939-05-07932-3
- Published electronically: April 19, 2005
- PDF | Request permission
Abstract:
Classical results of Kalton are used to study the complementation of the space $W(X,Y)$ of weakly compact operators and the space $K(X,Y)$ of compact operators in the space $L(X,Y)$ of bounded linear operators from $X$ to $Y$.References
- Elizabeth Bator and Paul W. Lewis, Complemented spaces of operators, Bull. Polish Acad. Sci. Math. 50 (2002), no. 4, 413–416. MR 1948406
- Joseph Diestel, Sequences and series in Banach spaces, Graduate Texts in Mathematics, vol. 92, Springer-Verlag, New York, 1984. MR 737004, DOI 10.1007/978-1-4612-5200-9
- J. Diestel and J. J. Uhl Jr., Vector measures, Mathematical Surveys, No. 15, American Mathematical Society, Providence, R.I., 1977. With a foreword by B. J. Pettis. MR 0453964
- G. Emmanuele, A remark on the containment of $c_0$ in spaces of compact operators, Math. Proc. Cambridge Philos. Soc. 111 (1992), no. 2, 331–335. MR 1142753, DOI 10.1017/S0305004100075435
- G. Emmanuele, Remarks on the uncomplemented subspace $W(E,F)$, J. Funct. Anal. 99 (1991), no. 1, 125–130. MR 1120917, DOI 10.1016/0022-1236(91)90055-A
- G. Emmanuele and K. John, Uncomplementability of spaces of compact operators in larger spaces of operators, Czechoslovak Math. J. 47(122) (1997), no. 1, 19–32. MR 1435603, DOI 10.1023/A:1022483919972
- Moshe Feder, On the nonexistence of a projection onto the space of compact operators, Canad. Math. Bull. 25 (1982), no. 1, 78–81. MR 657655, DOI 10.4153/CMB-1982-011-0
- Kamil John, On the uncomplemented subspace $K(X,Y)$, Czechoslovak Math. J. 42(117) (1992), no. 1, 167–173. MR 1152178
- N. J. Kalton, Spaces of compact operators, Math. Ann. 208 (1974), 267–278. MR 341154, DOI 10.1007/BF01432152
Bibliographic Information
- Ioana Ghenciu
- Affiliation: Department of Mathematics, University of North Texas, Box 311430, Denton, Texas 76203-1430
- Address at time of publication: Department of Mathematics, University of Wisconsin–River Falls, 204 D North Hall, River Falls, Wisconsin 54022-5001
- Email: ig0007@unt.edu
- Received by editor(s): April 15, 2004
- Published electronically: April 19, 2005
- Communicated by: N. Tomczak-Jaegermann
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 2621-2623
- MSC (2000): Primary 46B20, 46B28
- DOI: https://doi.org/10.1090/S0002-9939-05-07932-3
- MathSciNet review: 2146207