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ArticleOriginal scientific text

Title

Continuous extensions of spectral measures

Authors 1, 2

Affiliations

  1. Department of Mathematics, University of Tasmania, Hobart, Tasmania 7001, Australia
  2. School of Mathematics, University of New South Wales, Sydney, N.S.W. 2052, Australia

Bibliography

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  3. P. G. Dodds and W. J. Ricker, Spectral measures and the Bade reflexivity theorem, J. Funct. Anal. 61 (1985), 136-163.
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  5. N. Dunford and J. T. Schwartz, Linear Operators III: Spectral Operators, Wiley-Interscience, New York, 1972.
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  7. G. Köthe, Topological Vector Spaces I, Grundlehren Math. Wiss. 159, Springer, Heidelberg, 1969.
  8. G. Köthe, Topological Vector Spaces II, Grundlehren Math. Wiss. 237, Springer, New York, 1979.
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  11. S. Okada and W. J. Ricker, Vector measures and integration in non-complete spaces, Arch. Math. (Basel) 63 (1994), 344-353.
  12. S. Okada and W. J. Ricker, The range of the integration map of a vector measure, ibid. 64 (1995), 512-522.
  13. E. G. Ostling and A. Wilansky, Locally convex topologies and the convex compactness property, Proc. Cambridge Philos. Soc. 75 (1974), 45-50.
  14. W. J. Ricker, Closed spectral measures in Fréchet spaces, Internat. J. Math. Math. Sci. 7 (1984), 15-21.
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  16. W. J. Ricker, Completeness of the L1-space of closed vector measures, Proc. Edinburgh Math. Soc. 33 (1990), 71-78.
  17. W. J. Ricker, Uniformly closed algebras generated by Boolean algebras of projections in locally convex spaces, Canad. J. Math. 34 (1987), 1123-1146.
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  19. B. Walsh, Structure of spectral measures on locally convex spaces, Trans. Amer. Math. Soc. 120 (1965), 295-326.
Colloquium Mathematicum
1996/71/1
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Pages:
115-132
Main language of publication
English
Received
1995-04-10
Accepted
1995-11-20
Published
1996
Exact and natural sciences