Proceedings of the American Mathematical Society · 1974 · 22 citations · 5 references
Natural SciencesMathematicsDiscrete MathematicsProbability TheorySet TheoryExtreme Value TheoryExtreme Point ComputationExtreme Points
The extreme points of the set of measurable selections for a set-valued mapping are characterized. As a corollary, the extreme points of the unit ball of the space of “vector-valued <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Superscript p"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{L^p}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> functions” are characterized, thus generalizing results of Sundaresan.
5
F. J. Murray, J. v. Neumann · Annals of Mathematics · 1936 · 1.3K citations
On Rings of Operators. Reduction Theory
John von Neumann · Annals of Mathematics · 1949 · 542 citations