Hypermeasure theory

J D Maitland Wright

Research output: Contribution to journalArticle

Abstract

Much of classical vector measure theory can be interpreted as the study of weakly compact operators on commutative function algebras. Non-commutative measure theory can be thought of as a similar study, where the domain algebras are replaced by non-commutative operator algebras. Hypermeasure theory is something beyond this, where we replace operator algebras by more general classes of Banach space.
Original languageEnglish
Pages (from-to)477-485
Number of pages9
JournalAsian-European Journal of Mathematics
Volume2
Issue number3
DOIs
Publication statusPublished - Sep 2009

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Measure Theory
Operator Algebras
Weakly Compact Operators
Noncommutative Algebra
Function Algebra
Vector Measures
Commutative Algebra
Banach space
Algebra
Class

Keywords

  • banach
  • non-commutative
  • weakly compact

Cite this

Hypermeasure theory. / Wright, J D Maitland.

In: Asian-European Journal of Mathematics, Vol. 2, No. 3, 09.2009, p. 477-485.

Research output: Contribution to journalArticle

Wright, J D Maitland. / Hypermeasure theory. In: Asian-European Journal of Mathematics. 2009 ; Vol. 2, No. 3. pp. 477-485.
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