Literatur
Albrecht, E., Neumann, M.: Über die Stetigkeit von dissipativen linearen Operatoren. Arch. Math.31, 74–88 (1978)
Brainerd, B., Edwards, R.E.: Linear operators which commute with translations. I, II. J. Austr. Math. Soc.6, 289–350 (1966)
Carpenter, R.L.: Uniqueness of topology for commutative semi-simpleF-algebras. Proc. Amer. Math. Soc.29, 113–117 (1971)
Carpenter, R.L.: Continuity of derivations inF-algebras. Amer. J. Math.93, 500–502 (1971)
Edwards, R.E.: Representation theorems for certain functional operators. Pacific J. Math.7, 1333–1339 (1957)
Esterle, J.: Continuité des homomorphismes d'une algèbre métrisable et complète sur certaines algèbres de Banach. Math. Scand.39, 83–90 (1976)
Fourès, Y., Segal, I.E.: Causality and analyticity. Trans. Amer. Math. Soc.78, 385–405 (1955)
Johnson, B.E.: Continuity of linear operators commuting with continuous linear operators. Trans. Amer. Math. Soc.128, 88–102 (1967)
Johnson, B.E.: Continuity of derivations on commutative algebras. Amer. J. Math.91, 1–10 (1969)
Johnson, B.E., Sinclair, A.M.: Continuity of linear operators commuting with continuous linear operators. II. Trans. Amer. Math. Soc.146, 533–540 (1969)
Komatsu, H.: Ultradistributions. I. Structure theorems and a characterization. J. Fac. Sci. Univ. Tokyo20, 25–105 (1973)
König, H., Meixner, J.: Lineare Systeme und lineare Transformationen. Math. Nachr.19, 265–322 (1958)
Köthe, G.: Topologische lineare Räume. I. Berlin, Göttingen, Heidelberg: Springer 1966
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
Loy, R.J.: Continuity of linear operators commuting with shifts. J. Functional Anal.16, 48–60 (1974)
Meise, R.: Räume holomorpher Vektorfunktionen mit Wachstumsbedingungen und topologische Tensorprodukte. Math. Ann.199, 293–312 (1972)
Nussenzveig, H.M.: Causality and dispersion relations. New York, London: Academic Press 1972
Petzsche, H.-J.: Darstellungen der Ultradistributionen vom Beurlingschen und Roumieuschen Typ durch Randwerte holomorpher Funktionen. Dissertation, Düsseldorf 1976
Pták, V.: A uniform boundedness theorem and mappings into spaces of operators. Studia Math.31, 425–431 (1969)
Raikov, D.A.: Double closed graph theorem for topological linear spaces. Siberian Math. J.7, 287–300 (1966)
Rosenfeld, M.: CommutativeF-algebras. Pacific J. Math.16, 159–166 (1966)
Schaefer, H.H.: Topological vector spaces. New York, London: Macmillan 1966
Schwartz, L.: Théorie des distributions à valeurs vectorielles. I. Ann. Inst. Fourier7, 1–142 (1957)
Sinclair, A. M.: Automatic continuity of linear operators. Cambridge: Cambridge University Press 1976
Thomas, M.P.: Automatic continuity for linear functions intertwining continuous linear operators on Frechet spaces. Canad. J. Math.30, 518–530 (1978)
Treves, F.: Topological vector spaces, distributions, and kernels. New York, London: Academic Press 1967
Waelbroeck, L.: Topological vector spaces and algebras. Lecture Notes in Mathematics, Vol. 230. Berlin, Heidelberg, New York: Springer 1971
Weizsäcker, H. von: Sublineare Abbildungen und ein Konvergenzsatz von Banach. Math. Ann.212, 165–171 (1974)
Weston, J.D.: On the representation of operators by convolution integrals. Pacific J. Math.10, 1453–1468 (1960)
Zemanian, A.H.: Distribution theory and transform analysis. New York: McGraw-Hill 1965
Zemanian, A.H.: Realizability theory for continuous linear systems. New York, London: Academic Press 1972
Author information
Authors and Affiliations
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01362314