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On the surjectivity of linear maps on locally convex spaces

  • Sadayuki Yamamuro (a1)

Abstract

The aim of this note is to investigate the structure of general surjectivity problem for a continuous linear map between locally convex spaces. We shall do so by using the method introduced in Yamamuro (1980). Its basic notion is that of calibrations which has been introduced in Yamamuro (1975), studied in detail in Yamamuro (1979) and appliced to several problems in Yamamuro (1978) and Yamamuro (1979a).

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References

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Yamamuro, S. (1974), Differential calculus in topological linear spaces, (Lecture Notes in Mathematics 374, Springer-Verlag, Berlin, Heiderberg, New York).
Yamamuro, S. (1975), ‘A differentiation in locally convex spaces’, Bull. Austral. Math. Soc. 12, 183209.
Yamamuro, S. (1978), ‘A note on Omori-Lie groups’, Bull. Austral. Math. Soc. 19, 333349.
Yarnamuro, S. (1979), A theory of differentiation in locally convex spaces, (Mem. Amer. Math. Soc. 1, no. 212, Providence, R.I.).
Yamamuro, S. (1979a), ‘A note on the Omega lemma’, Bull. Austral. Math. Soc. 20, 421435.
Yamamuro, S. (1980), ‘Notes on the inverse mapping theorem in locally convex spaces’, Bull. Austral. Math. Soc. 21, 419461.
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On the surjectivity of linear maps on locally convex spaces

  • Sadayuki Yamamuro (a1)

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