Some remarks on the stability problem for linear space automata and semicontinuity of cut point languages

Ernst-Erich Doberkat

Kybernetika (1982)

  • Volume: 18, Issue: 2, page 89-105
  • ISSN: 0023-5954

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Doberkat, Ernst-Erich. "Some remarks on the stability problem for linear space automata and semicontinuity of cut point languages." Kybernetika 18.2 (1982): 89-105. <http://eudml.org/doc/27610>.

@article{Doberkat1982,
author = {Doberkat, Ernst-Erich},
journal = {Kybernetika},
keywords = {linear system; stochastic language; stochastic automata; completely metrizable topological vector spaces; Banach spaces; Frechet spaces; dual automaton},
language = {eng},
number = {2},
pages = {89-105},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Some remarks on the stability problem for linear space automata and semicontinuity of cut point languages},
url = {http://eudml.org/doc/27610},
volume = {18},
year = {1982},
}

TY - JOUR
AU - Doberkat, Ernst-Erich
TI - Some remarks on the stability problem for linear space automata and semicontinuity of cut point languages
JO - Kybernetika
PY - 1982
PB - Institute of Information Theory and Automation AS CR
VL - 18
IS - 2
SP - 89
EP - 105
LA - eng
KW - linear system; stochastic language; stochastic automata; completely metrizable topological vector spaces; Banach spaces; Frechet spaces; dual automaton
UR - http://eudml.org/doc/27610
ER -

References

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  2. R. Cristestcu, Topological Vector Spaces, Noordhoff, Leyden 1977. (1977) MR0454552
  3. E., E. Doberkat, On a representation of measurable automaton transformations by stochastic automata, J. Math. Anal. Appl. 69 (1979), 455 - 468. (1979) Zbl0365.94076MR0538232
  4. E., E. Doberkat, Stochastic Automata: Stability, Nondeterminism, and Prediction, (Lecture Notes in Computer Science 113.) Springer - Verlag, Berlin 1981. (1981) Zbl0473.68051MR0620953
  5. Ed. Dubinsky, [unknown], personal communication, April 22, 1981. (1981) Zbl0482.46003
  6. J. Horváth, Topological Vector Spaces and Distributions, Addison Wesley, Reading, Mass. 1966. (1966) MR0205028
  7. Y. Inagaki T. Fukumura H. Matuura, Some aspects of linear space automata, Information and Control 20 (1972), 439-479. (1972) MR0332402
  8. J. L. Kelley, General Topology, Van Nostrand Reinhold, New York 1955. (1955) Zbl0066.16604MR0070144
  9. J. L. Kelley I. Namioka, al., Linear Topological Spaces, Springer-Verlag, Berlin 1976. (1976) MR0394084
  10. M. O. Rabin, Probabilistic automata, Information and Control 6 (1963), 230-245. (1963) 
  11. H. H. Schaefer, Topological Vector Spaces, Springer-Verlag, Berlin 1971. (1971) Zbl0217.16002MR0342978
  12. K. Sugino Y. Inagaki T. Fukumura, A note on the linear space automata stability problem, IEEE Trans. Computers C-25 (1976), 678-683. (1976) MR0432338

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