On weakly extremal structures in Banach spaces

J. Talponen

On weakly extremal structures in Banach spaces

泛函分析 2007-06-25 v3

作者: J. Talponen

摘要

This paper deals with the interplay of the geometry of the norm and the weak topology in Banach spaces. Both dual and intrinsic connections between weak forms of rotundity and smoothness ared discussed. Weakly exposed points, weakly locally uniformly rotund spaces, smoothness, duality and the interplay of all the above are studied.

关键词

weak convergence banach spaces banach space properties

引用

@article{arxiv.math/0701009,
  title  = {On weakly extremal structures in Banach spaces},
  author = {J. Talponen},
  journal= {arXiv preprint arXiv:math/0701009},
  year   = {2007}
}

备注

7 pages

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