| Title:
|
A maximum problem for operators (English) |
| Author:
|
Pták, Vlastimil |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
109 |
| Issue:
|
2 |
| Year:
|
1984 |
| Pages:
|
168-193 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47A30 |
| idZBL:
|
Zbl 0547.47004 |
| idMR:
|
MR744874 |
| DOI:
|
10.21136/CPM.1984.108502 |
| . |
| Date available:
|
2009-09-23T09:25:37Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108502 |
| . |
| Reference:
|
[1] R. G. Douglas: Banach algebra techniques in operator theory.Academic Press 1972. Zbl 0247.47001, MR 0361893 |
| Reference:
|
[2] J. Mařík V. Pták: Norms, spectra and combinatorial properties of matrices.Czech. Math. J. 85 (1960), 181-196. MR 0120243 |
| Reference:
|
[3] H. K. Huкольский: Лекции об операторе сдвига.Mocквa 1980. Zbl 0611.73064 |
| Reference:
|
[4] V. Pták: Norms and the spectral radius of matrices.Czech. Math. J. 87 (1962), 553 - 557. MR 0146190 |
| Reference:
|
[5] V. Pták: Rayon spectral, norme des itérés d'un opérateur et exposant critique.C. R. Acad. Sci. Paris 265 (1967), 267-269. Zbl 0162.45604, MR 0220090 |
| Reference:
|
[6] V. Pták: Spectral radius, norms of iterates and the critical exponent.Lin. Alg. Appl. 1 (1968), 245-260. MR 0230744 |
| Reference:
|
[7] V. Pták: Isometric parts of operators and the critical exponent.Časopis pro pěst. mat. 101 (1976), 383-388. MR 0458214 |
| Reference:
|
[8] V. Pták: Universal estimates of the spectral radius.Proceedings of the semester on spectral theory. Banach Center Publ., vol. 8, (Spectral Theory) (1982), 373-387. MR 0738301 |
| Reference:
|
[9] V. Pták: An infinite companion matrix.Comm. Math. Univ. Carol. 19 (1978), 447-458. MR 0508953 |
| Reference:
|
[10] V. Pták: A lower bound for the spectral radius.Proc. Amer. Math. Soc. 80 (1980), 435-440. MR 0580999 |
| Reference:
|
[11] V. Pták: A maximum problem for matrices.Lin. Alg. Appl. 28 (1979), 193 - 204. MR 0549433 |
| Reference:
|
[12] V. Pták N. I. Young: Functions of operators and the spectral radius.Lin. Alg. Appl. 29 (1980), 357-392. MR 0562769 |
| Reference:
|
[13] V. Pták N. J. Young: A generalization of the zero location theorem of Schur and Cohn.IEEE Trans, on Automatic Control AC-25 (1980), 978-980. MR 0595237 |
| Reference:
|
[14] V. Pták: An equation of Lyapunov type.Lin. Alg. Appl. 39 (1981), 73 - 82. MR 0625238 |
| Reference:
|
[15] V. Pták: The discrete Lyapunov equation in controllable canonical form.IEEE Trans, on Automatic Control, AC-26 (1981), 580-581. MR 0613587 |
| Reference:
|
[16] V. Pták N. J. Young: Zero location by Hermitian forms: the singular case.Lin. Alg. Appl. 43(1982), 181-196. MR 0656444 |
| Reference:
|
[17] V. Pták: Critical Exponents.Proc. of the Fourth Conference on Operator Theory. Timisoara 1979, 320-329. |
| Reference:
|
[18] V. Pták: Biorthogonal systems and the infinite companion matrix.Lin. Alg. Appl. 49 (1983), 57-78. MR 0688376 |
| Reference:
|
[19] V. Pták: Lyapunov Equations and Gram Matrices.Lin. Alg. Appl. 49 (1983), 33 - 55. MR 0688375 |
| Reference:
|
[20] V. Pták: Uniqueness in the first maximum problem.Manuscripts Math., 42(1983), 101-104. MR 0693423 |
| Reference:
|
[21] D. Sarason: Generalized interpolation in H∞.Trans. Amer. Math. Soc. 127 (1967), 179-203. Zbl 0145.39303, MR 0208383 |
| Reference:
|
[22] B. Sz-Nagy: Sur la norme des functions de certains operateurs.Acta Math. Acad. Sci. Hungar. 20 (1969), 331-334. MR 0256200 |
| . |
