Notes about the hypercyclicity criterion

Fernando León-Saavedra

Mathematica Slovaca (2003)

  • Volume: 53, Issue: 3, page 313-319
  • ISSN: 0139-9918

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León-Saavedra, Fernando. "Notes about the hypercyclicity criterion." Mathematica Slovaca 53.3 (2003): 313-319. <http://eudml.org/doc/34579>.

@article{León2003,
author = {León-Saavedra, Fernando},
journal = {Mathematica Slovaca},
keywords = {hypercyclic vector; hypercyclic operator; almost periodic vector; hypercyclicity criterion},
language = {eng},
number = {3},
pages = {313-319},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Notes about the hypercyclicity criterion},
url = {http://eudml.org/doc/34579},
volume = {53},
year = {2003},
}

TY - JOUR
AU - León-Saavedra, Fernando
TI - Notes about the hypercyclicity criterion
JO - Mathematica Slovaca
PY - 2003
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 53
IS - 3
SP - 313
EP - 319
LA - eng
KW - hypercyclic vector; hypercyclic operator; almost periodic vector; hypercyclicity criterion
UR - http://eudml.org/doc/34579
ER -

References

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  1. ANSARI S. I., Hypercyclic and cyclic vectors, J. Funct. Anal. 128 (1995), 374-383. (1995) Zbl0853.47013MR1319961
  2. BERNAL-GONZÁLEZ L.-GROSSE-ERDMANN K. G., The Hypercyclicity Criterion for sequences of operators, Preprint. Zbl1032.47006MR1980114
  3. BES J. P.-PERIS A., Hereditarily hypercyclic operators, J. Funct. Anal. 167 (1999), 94-112. (1999) MR1710637
  4. DeLAUBENFELS R.-VÜ QUÔC-PHÓNG, The discrete Hille-Yosida space and the asymptotic behaviour of individual orbits oflinear operators, J. Func. Anal. 142 (1996), 539-548. (1996) MR1423044
  5. GODEFROY G.-SHAPIRO J. H., Operators with dense invariant cyclic vector manifolds, J. Funct. Anal. 98 (1991), 229-269. (1991) Zbl0732.47016MR1111569
  6. HERRERO D. A., Hyptrcyclic operators and chaos operators, 3. Opeгatoг Theoгy 28 (1992), 93-103. (1992) MR1259918
  7. DeLEEUW K.-GLICKSBERG I., Applications of almost-periodic compactification, Acta Math. 105 (1961), 63-97. (1961) MR0131784
  8. LYUBICH Y. I., Introduction to the Theory of Banach Representations of Groups, Birkhäuser, Basel, 1988. (1988) Zbl0635.22001MR1015717
  9. MONTES-RODRÍGUEZ A.-SALAS H. N., Supercyclic subspaces, spectral theory and weighted shifts, Adv. Math. 163 (2001), 74-134. Zbl1008.47010MR1867204
  10. ROLEWICZ S., On orbits of elements, Studia Math. 32 (1969), 17-22. (1969) Zbl0174.44203MR0241956

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