Periodica Mathematica Hungarica

, Volume 20, Issue 3, pp 219–230 | Cite as

On the continuity of causal operators and the Pták—stein theorem

  • L. Máté
Article

Mathematics subject classifications numbers, 1980/85

Primary 47A99 Secondary 47A15 

Key words and phrases

Causality projections invariant subspaces automatic continuity 

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References

  1. [1]
    E. Albrecht andM. M. Neumann, Automatic continuity for operators of local type,Radical Banach algebras and automatic continuity, Springer, Berlin, 1983; 342–355.MR 85h: 47019Google Scholar
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    Ch. A. Desoer andM. Vidyasagar,Feedback systems: input-output properties, Academic Press, New York, 1975.MR 58: 9636Google Scholar
  3. [3]
    N. Dunford andJ. T. Schwartz,Linear operators, I, Interscience Publishers, London, 1958.MR 22: 8302Google Scholar
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    A. Feintuch andR. Saeks,System theory, Academic Press, New York, 1982.MR 84e: 93003Google Scholar
  5. [5]
    M. Neumann andV. Pták, Automatic continuity, local type and causality,Studia Math. 82 (1985), 61–90.Zbl 604: 46003Google Scholar
  6. [6]
    V. Pták, A uniform boundedness theorem and mappings into spaces of operators,Studia Math. 31 (1968), 425–431.MR 38: 4967Google Scholar
  7. [7]
    J. D. Stein, Several theorems on boundedness and equicontinuity,Proc. Amer. Math. Soc. 26 (1970), 415–419.MR 42: 5017Google Scholar

Copyright information

© Akadémiai Kiadó 1989

Authors and Affiliations

  • L. Máté
    • 1
  1. 1.Budapesti Műszaki EgyetemVillamosmérnöki Kar Matematikai TanszékBudapestHungary

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