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Transactions of the American Mathematical Society

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Derivations and automorphisms of $ L\sp{1}\,(0,\,1)$

Authors: Herbert Kamowitz and Stephen Scheinberg
Journal: Trans. Amer. Math. Soc. 135 (1969), 415-427
MSC: Primary 46.55
MathSciNet review: 0233210
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  • [1] W. F. Donoghue, Jr., The lattice of invariant subspaces of a completely continuous quasinilpotent transformation, Pacific J. Math. 7 (1957), 1031-1035; Example 3. MR 0092124 (19:1066f)
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  • [3] E. Hille and R. S. Phillips, Functional analysis and semi-groups, rev. ed., Amer. Math. Soc. Colloq. Publ., Vol. 31, Amer. Math. Soc., Providence, R. I., 1957, pp. 164-174. MR 0089373 (19:664d)
  • [4] I. M. Singer and J. Wermer, Derivations on commutative normed algebras, Math. Ann. 129 (1955), 260-264. MR 0070061 (16:1125c)
  • [5] E. C. Titchmarsh, Theory of Fourier integrals, 2nd ed., Oxford Univ. Press, London, 1948, pp. 322-325, Theorem 151.

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