| Title:
|
Numerical range and related nonlinear functional equations (English) |
| Author:
|
Verma, Ram U. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
42 |
| Issue:
|
3 |
| Year:
|
1992 |
| Pages:
|
503-513 |
| . |
| Category:
|
math |
| . |
| MSC:
|
39B52 |
| MSC:
|
47A12 |
| MSC:
|
47H09 |
| MSC:
|
47H15 |
| MSC:
|
47H17 |
| MSC:
|
47J05 |
| idZBL:
|
Zbl 0781.47048 |
| idMR:
|
MR1179314 |
| DOI:
|
10.21136/CMJ.1992.128350 |
| . |
| Date available:
|
2009-09-24T09:23:47Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128350 |
| . |
| Reference:
|
[1] F. Browder and C. Gupta: Monotone Operators and Nonlinear Integral Equations of Hammerstein Type.Bull. Amer. Math. Soc. 75 (1969), 1347–1353. MR 0250141, 10.1090/S0002-9904-1969-12420-1 |
| Reference:
|
[2] F. Browder and W. Petryshyn: Approximation-Methods and the Generalized Topological Degree for Nonlinear Mappings in Banach Spaces.J. Functional Anal. 3 (1969), 217–245. MR 0244812, 10.1016/0022-1236(69)90041-X |
| Reference:
|
[3] G. Minty: On a “Monotonicity” Method for the Solution of Non-Linear Equations in Banach Spaces.Proc. Nat. Acad. Sci. U.S.A. 50 (1963), 1038-1041. MR 0162159, 10.1073/pnas.50.6.1038 |
| Reference:
|
[4] W. Petryshyn: On the Approximation-Solvability of Equations Involving A-Proper and Pseudo-A-Proper Mappings.Bull. Amer. Math. Soc. 81 (1975), no. 2, 223–312. Zbl 0303.47038, MR 0388173, 10.1090/S0002-9904-1975-13728-1 |
| Reference:
|
[5] R. Verma: Joint Spatial Numerical Range of Tensor Products.Proc. Royal Irish Acad. 90A (1990), 201–204. Zbl 0697.47002, MR 1150458 |
| Reference:
|
[6] E. Zarantonello: Contributions to Nonlinear Analysis.Academic Press, New York, 1971. |
| Reference:
|
[7] E. Zarantonello: The Closure of the Numerical Range Contains the Spectrum.Bull. Amer. Math. Soc. 70 (1964), 781–787. Zbl 0137.32501, MR 0173176, 10.1090/S0002-9904-1964-11237-4 |
| Reference:
|
[8] E. Zeidler: Nonlinear Functional Analysis and Its Applications II/B, Nonlinear Monotone Operators.Springer-Verlag, New York, 1990. Zbl 0684.47029, MR 1033498 |
| . |
