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Showing 1 to 4 of 4 for “"Hahn-Banach Theorem"”.
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THE HAHN-BANACH THEOREM AND SOLUTION OF RELATED PROBLEMS
<p>We give an overview of Hahn-Banch Theorems. We present the statements of these theorems along with some definitions that are required to understand these statements and work out some applications.</p>
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Extension of some theorems of complex functional analysis to linear spaces over the quaternions and Cayley numbers
… the real Cayley algebra. The basic structure of Banach spaces over these division rings and the rings of bounded operators on these spaces is developed. Examples of finite and infinite dimensional spaces over these division rings are given. Questions concerning linear functionals, the Hahn-Banach …
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Unbounded linear operators in seminormed spaces
… is usually studied in the setting of normed or Banach spaces. However, careful examination of proofs shows that in many cases the Hausdorff property of normed spaces is not used. Even in those cases where explicit use of the Hausdorff property is made, one can often get around this (should one …