Isometries in H 2 , generating functions and extremal problems

Vlastimil Pták

Časopis pro pěstování matematiky (1985)

  • Volume: 110, Issue: 1, page 33-57
  • ISSN: 0528-2195

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Pták, Vlastimil. "Isometries in $H^2$, generating functions and extremal problems." Časopis pro pěstování matematiky 110.1 (1985): 33-57. <http://eudml.org/doc/21586>.

@article{Pták1985,
author = {Pták, Vlastimil},
journal = {Časopis pro pěstování matematiky},
keywords = {Möbius function; multiplication operator; isometry; generating functions; matrix representation; spectral radius},
language = {eng},
number = {1},
pages = {33-57},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Isometries in $H^2$, generating functions and extremal problems},
url = {http://eudml.org/doc/21586},
volume = {110},
year = {1985},
}

TY - JOUR
AU - Pták, Vlastimil
TI - Isometries in $H^2$, generating functions and extremal problems
JO - Časopis pro pěstování matematiky
PY - 1985
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 110
IS - 1
SP - 33
EP - 57
LA - eng
KW - Möbius function; multiplication operator; isometry; generating functions; matrix representation; spectral radius
UR - http://eudml.org/doc/21586
ER -

References

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  1. V. Pták, Norms and the spectral radius of matrices, Czechosl. Math. J. 87 (1962), 553 - 557. (1962) Zbl0116.25301MR0146190
  2. V. Pták, Rayon spectral, norme des itérés d'un opérateur et exposam critique, C.R. Acad. Sci. Paris 265 (1967), 257-269. (1967) Zbl0162.45604MR0220090
  3. V. Pták, Spectral radius, norms of iterates and the critical exponent, Lin. Alg. Appl. 1 (1968), 245-260. (1968) Zbl0159.32304MR0230744
  4. V. Pták, Isometric parts of operators and the critical exponent, Čas. pěst. mat. 101 (1976), 383-388. (1976) Zbl0351.47006MR0458214
  5. 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) Zbl0518.46036MR0738301
  6. V. Pták, A lower bound for the spectral radius, Proceedings of the American Mathematical Society 80 (1980), 435-440. (1980) Zbl0475.47006MR0580999
  7. V. Pták, A maximum problem for matrices, Lin. Alg. Appl. 28 (1979), 193-204. (1979) Zbl0422.15013MR0549433
  8. V. Pták, Functions of operators and the spectral radius, († N. J. Young). Lin. Alg. Appl. 29 (1980), 357-392. (1980) Zbl0475.47005MR0562769
  9. D. Sarason, Generalized interpolation in H∞, Trans. Amer. Math. Soc. 127 (1967), 179-203. (1967) Zbl0145.39303MR0208383
  10. B. Sz.-Nagy, Sur la norme de certains opérateurs, Acta Math. Acad. Sci. Hungar. 20 (1969), 331-334. (1969) Zbl0189.44401MR0256200
  11. B. Sz.-Nagy C. Foias, Analyse harmonique des operateurs, Akademiai Kiadó 1967. (1967) Zbl0157.43201
  12. N. J. Young, Analytic programmes in matrix algebras, Proc. Lond. Math. Soc. 36 (1978), 226-242. (1978) Zbl0379.65023MR0484965

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