References
Bargmann, V.: On unitary ray representations of continuous groups. Ann. of Math.59, 1–46 (1954)
Berkson, E., Sourour, A.: The hermitian operators on some Banach spaces. Studia Math.52, 33–41 (1974)
Bonsall, F.F., Duncan, J.: Numerical ranges of operators on normed spaces and of elements of normed algebras. Vol. 1, London Math. Soc. Lecture Note Series # 2. London: Cambridge Univ. Press 1971
Douglas, R.G.: Banach algebra techniques in operator theory. New York: Academic Press 1972
Dunford, N., Schwartz, J.T.: Linear operators. Part I, General Theory. New York: Interscience 1958
Halmos, P.R.: A Hilbert space problem book. Princeton: van Nostrand 1967
Kadison, R.V.: Isometries of operator algebras. Ann. of Math.54, 325–338 (1951)
Kallman, R.: Uniform continuity, unitary groups, and compact operators. J. of Funct. Anal.1, 245–253 (1967)
Lumer, G.: Semi-inner-product spaces. Trans. Amer. Math. Soc.100, 29–43 (1961)
Schatten, R.: Norm ideals of completely continuous operators. Berlin, Heidelberg, New York: Springer 1960
Author information
Authors and Affiliations
Additional information
The work of this author was supported by a National Science Foundation Grant.
Rights and permissions
About this article
Cite this article
Berkson, E., Fleming, R.J. & Jamison, J. Groups of isometries on certain ideals of Hilbert space operators. Math. Ann. 220, 151–156 (1976). https://doi.org/10.1007/BF01351700
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01351700