A maximum problem for operators

Vlastimil Pták

Časopis pro pěstování matematiky (1984)

  • Volume: 109, Issue: 2, page 168-193
  • ISSN: 0528-2195

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Pták, Vlastimil. "A maximum problem for operators." Časopis pro pěstování matematiky 109.2 (1984): 168-193. <http://eudml.org/doc/19332>.

@article{Pták1984,
author = {Pták, Vlastimil},
journal = {Časopis pro pěstování matematiky},
keywords = {extremum problem; contraction; Sz.-Nagy-Foiaş model; Hankel and Toeplitz operators},
language = {eng},
number = {2},
pages = {168-193},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {A maximum problem for operators},
url = {http://eudml.org/doc/19332},
volume = {109},
year = {1984},
}

TY - JOUR
AU - Pták, Vlastimil
TI - A maximum problem for operators
JO - Časopis pro pěstování matematiky
PY - 1984
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 109
IS - 2
SP - 168
EP - 193
LA - eng
KW - extremum problem; contraction; Sz.-Nagy-Foiaş model; Hankel and Toeplitz operators
UR - http://eudml.org/doc/19332
ER -

References

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  1. R. G. Douglas, Banach algebra techniques in operator theory, Academic Press 1972. (1972) Zbl0247.47001MR0361893
  2. J. Mařík V. Pták, Norms, spectra and combinatorial properties of matrices, Czech. Math. J. 85 (1960), 181-196. (1960) MR0120243
  3. H. K. Huкольский, Лекции об операторе сдвига, Mocквa 1980. (1980) Zbl0611.73064
  4. V. Pták, Norms and the spectral radius of matrices, Czech. Math. J. 87 (1962), 553 - 557. (1962) MR0146190
  5. V. Pták, Rayon spectral, norme des itérés d'un opérateur et exposant critique, C. R. Acad. Sci. Paris 265 (1967), 267-269. (1967) Zbl0162.45604MR0220090
  6. V. Pták, Spectral radius, norms of iterates and the critical exponent, Lin. Alg. Appl. 1 (1968), 245-260. (1968) MR0230744
  7. V. Pták, Isometric parts of operators and the critical exponent, Časopis pro pěst. mat. 101 (1976), 383-388. (1976) MR0458214
  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. (1982) MR0738301
  9. V. Pták, An infinite companion matrix, Comm. Math. Univ. Carol. 19 (1978), 447-458. (1978) MR0508953
  10. V. Pták, A lower bound for the spectral radius, Proc. Amer. Math. Soc. 80 (1980), 435-440. (1980) MR0580999
  11. V. Pták, A maximum problem for matrices, Lin. Alg. Appl. 28 (1979), 193 - 204. (1979) MR0549433
  12. V. Pták N. I. Young, Functions of operators and the spectral radius, Lin. Alg. Appl. 29 (1980), 357-392. (1980) MR0562769
  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. (1980) MR0595237
  14. V. Pták, An equation of Lyapunov type, Lin. Alg. Appl. 39 (1981), 73 - 82. (1981) MR0625238
  15. V. Pták, The discrete Lyapunov equation in controllable canonical form, IEEE Trans, on Automatic Control, AC-26 (1981), 580-581. (1981) MR0613587
  16. V. Pták N. J. Young, Zero location by Hermitian forms: the singular case, Lin. Alg. Appl. 43(1982), 181-196. (1982) MR0656444
  17. V. Pták, Critical Exponents, Proc. of the Fourth Conference on Operator Theory. Timisoara 1979, 320-329. (1979) 
  18. V. Pták, Biorthogonal systems and the infinite companion matrix, Lin. Alg. Appl. 49 (1983), 57-78. (1983) MR0688376
  19. V. Pták, Lyapunov Equations and Gram Matrices, Lin. Alg. Appl. 49 (1983), 33 - 55. (1983) MR0688375
  20. V. Pták, Uniqueness in the first maximum problem, Manuscripts Math., 42(1983), 101-104. (1983) MR0693423
  21. D. Sarason, Generalized interpolation in H∞, Trans. Amer. Math. Soc. 127 (1967), 179-203. (1967) Zbl0145.39303MR0208383
  22. B. Sz-Nagy, Sur la norme des functions de certains operateurs, Acta Math. Acad. Sci. Hungar. 20 (1969), 331-334. (1969) MR0256200

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