Skip to main content
Log in

Automatische Stetigkeitseigenschaften einiger Klassen linearer Operatoren

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literatur

  1. Albrecht, E., Neumann, M.: Über die Stetigkeit von dissipativen linearen Operatoren. Arch. Math.31, 74–88 (1978)

    Google Scholar 

  2. Brainerd, B., Edwards, R.E.: Linear operators which commute with translations. I, II. J. Austr. Math. Soc.6, 289–350 (1966)

    Google Scholar 

  3. Carpenter, R.L.: Uniqueness of topology for commutative semi-simpleF-algebras. Proc. Amer. Math. Soc.29, 113–117 (1971)

    Google Scholar 

  4. Carpenter, R.L.: Continuity of derivations inF-algebras. Amer. J. Math.93, 500–502 (1971)

    Google Scholar 

  5. Edwards, R.E.: Representation theorems for certain functional operators. Pacific J. Math.7, 1333–1339 (1957)

    Google Scholar 

  6. Esterle, J.: Continuité des homomorphismes d'une algèbre métrisable et complète sur certaines algèbres de Banach. Math. Scand.39, 83–90 (1976)

    Google Scholar 

  7. Fourès, Y., Segal, I.E.: Causality and analyticity. Trans. Amer. Math. Soc.78, 385–405 (1955)

    Google Scholar 

  8. Johnson, B.E.: Continuity of linear operators commuting with continuous linear operators. Trans. Amer. Math. Soc.128, 88–102 (1967)

    Google Scholar 

  9. Johnson, B.E.: Continuity of derivations on commutative algebras. Amer. J. Math.91, 1–10 (1969)

    Google Scholar 

  10. Johnson, B.E., Sinclair, A.M.: Continuity of linear operators commuting with continuous linear operators. II. Trans. Amer. Math. Soc.146, 533–540 (1969)

    Google Scholar 

  11. Komatsu, H.: Ultradistributions. I. Structure theorems and a characterization. J. Fac. Sci. Univ. Tokyo20, 25–105 (1973)

    Google Scholar 

  12. König, H., Meixner, J.: Lineare Systeme und lineare Transformationen. Math. Nachr.19, 265–322 (1958)

    Google Scholar 

  13. Köthe, G.: Topologische lineare Räume. I. Berlin, Göttingen, Heidelberg: Springer 1966

    Google Scholar 

  14. Laursen, K.B.: Some remarks on automatic continuity. In: Spaces of analytic functions. Lecture Notes in Mathematics, Vol. 512. Berlin, Heidelberg, New York: Springer 1976

    Google Scholar 

  15. Loy, R.J.: Continuity of linear operators commuting with shifts. J. Functional Anal.16, 48–60 (1974)

    Google Scholar 

  16. Meise, R.: Räume holomorpher Vektorfunktionen mit Wachstumsbedingungen und topologische Tensorprodukte. Math. Ann.199, 293–312 (1972)

    Google Scholar 

  17. Nussenzveig, H.M.: Causality and dispersion relations. New York, London: Academic Press 1972

    Google Scholar 

  18. Petzsche, H.-J.: Darstellungen der Ultradistributionen vom Beurlingschen und Roumieuschen Typ durch Randwerte holomorpher Funktionen. Dissertation, Düsseldorf 1976

  19. Pták, V.: A uniform boundedness theorem and mappings into spaces of operators. Studia Math.31, 425–431 (1969)

    Google Scholar 

  20. Raikov, D.A.: Double closed graph theorem for topological linear spaces. Siberian Math. J.7, 287–300 (1966)

    Google Scholar 

  21. Rosenfeld, M.: CommutativeF-algebras. Pacific J. Math.16, 159–166 (1966)

    Google Scholar 

  22. Schaefer, H.H.: Topological vector spaces. New York, London: Macmillan 1966

    Google Scholar 

  23. Schwartz, L.: Théorie des distributions à valeurs vectorielles. I. Ann. Inst. Fourier7, 1–142 (1957)

    Google Scholar 

  24. Sinclair, A. M.: Automatic continuity of linear operators. Cambridge: Cambridge University Press 1976

    Google Scholar 

  25. Thomas, M.P.: Automatic continuity for linear functions intertwining continuous linear operators on Frechet spaces. Canad. J. Math.30, 518–530 (1978)

    Google Scholar 

  26. Treves, F.: Topological vector spaces, distributions, and kernels. New York, London: Academic Press 1967

    Google Scholar 

  27. Waelbroeck, L.: Topological vector spaces and algebras. Lecture Notes in Mathematics, Vol. 230. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  28. Weizsäcker, H. von: Sublineare Abbildungen und ein Konvergenzsatz von Banach. Math. Ann.212, 165–171 (1974)

    Google Scholar 

  29. Weston, J.D.: On the representation of operators by convolution integrals. Pacific J. Math.10, 1453–1468 (1960)

    Google Scholar 

  30. Zemanian, A.H.: Distribution theory and transform analysis. New York: McGraw-Hill 1965

    Google Scholar 

  31. Zemanian, A.H.: Realizability theory for continuous linear systems. New York, London: Academic Press 1972

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Albrecht, E., Neumann, M. Automatische Stetigkeitseigenschaften einiger Klassen linearer Operatoren. Math. Ann. 240, 251–280 (1979). https://doi.org/10.1007/BF01362314

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01362314

Navigation