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A Rogalski‐Cornet Type Inclusion Theorem Based on Two Hausdorff Locally Convex Vector Spaces

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  • Yingfan Liu
  • Youguo Wang

Abstract

A Rogalski‐Cornet type inclusion theorem based on two Hausdorff locally convex vector spaces is proved and composed of two parts. An example is presented to show that the associated set‐valued map in the first part does not need any conventional continuity conditions including upper hemicontinuous. As an application, solvability results regarding an abstract von Neumann inclusion system are obtained.

Suggested Citation

  • Yingfan Liu & Youguo Wang, 2012. "A Rogalski‐Cornet Type Inclusion Theorem Based on Two Hausdorff Locally Convex Vector Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:596216
    DOI: 10.1155/2012/596216
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    References listed on IDEAS

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