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Norm preserving extensions of linear transformations on Hilbert spaces.


Author: Michael G. Crandall
Journal: Proc. Amer. Math. Soc. 21 (1969), 335-340
MSC: Primary 47.10; Secondary 46.00
DOI: https://doi.org/10.1090/S0002-9939-1969-0238092-8
MathSciNet review: 0238092
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References [Enhancements On Off] (What's this?)

  • [1] M. G. Crandall and R. S. Phillips, On the extension problem for dissipative operators, J. Functional Analysis 2 (1968), 147-176. MR 0231220 (37:6775)
  • [2] M. A. Krein, The theory of self-adjoint extensions of semi-bounded Hermitian transformations and its applications. I, Mat. Sb. 20 (62) (1947), 431-495. (Russian) MR 0024574 (9:515c)
  • [3] R. S. Phillips, Dissipative operators and hyperbolic systems of partial differential equations, Trans. Amer. Math. Soc. 90 (1959), 193-254. MR 0104919 (21:3669)
  • [4] -, On dissipative operators, Van Nostrand Math. Studies Series (to appear).
  • [5] -, The extension of dual subspaces invariant under an algebra, Proc. International Sympos. on Linear Spaces, Israel, (1960), Jerusalem Academic Press, 1961, pp. 366-398. MR 0133686 (24:A3512)

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DOI: https://doi.org/10.1090/S0002-9939-1969-0238092-8
Article copyright: © Copyright 1969 American Mathematical Society

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