Iterative solution of linear equations in Banach spaces
HTML articles powered by AMS MathViewer
- by J. Wayne Pace and W. G. Dotson
- Proc. Amer. Math. Soc. 60 (1976), 149-156
- DOI: https://doi.org/10.1090/S0002-9939-1976-0423103-0
- PDF | Request permission
Abstract:
Several results are obtained which generalize recent results of Kwon and Redheffer concerning the solution of $u - Tu = f$ by means of iteration.References
- F. E. Browder and W. V. Petryshyn, The solution by iteration of linear functional equations in Banach spaces, Bull. Amer. Math. Soc. 72 (1966), 566–570. MR 190744, DOI 10.1090/S0002-9904-1966-11543-4
- D. G. de Figueiredo and L. A. Karlovitz, On the approximate solution of linear functional equations in Banach spaces, J. Math. Anal. Appl. 24 (1968), 654–664. MR 238139, DOI 10.1016/0022-247X(68)90018-8
- Casper Goffman and George Pedrick, First course in functional analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1965. MR 0184064
- Y. K. Kwon and R. M. Redheffer, Remarks on linear equations in Banach space, Arch. Rational Mech. Anal. 32 (1969), 247–254. MR 253069, DOI 10.1007/BF00281502
Bibliographic Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 60 (1976), 149-156
- MSC: Primary 47A50; Secondary 65J05
- DOI: https://doi.org/10.1090/S0002-9939-1976-0423103-0
- MathSciNet review: 0423103