### Abstract

Original language | English |
---|---|

Pages (from-to) | 477-485 |

Number of pages | 9 |

Journal | Asian-European Journal of Mathematics |

Volume | 2 |

Issue number | 3 |

DOIs | |

Publication status | Published - Sep 2009 |

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### Keywords

- banach
- non-commutative
- weakly compact

### Cite this

*Asian-European Journal of Mathematics*,

*2*(3), 477-485. https://doi.org/10.1142/S1793557109000406

**Hypermeasure theory.** / Wright, J D Maitland.

Research output: Contribution to journal › Article

*Asian-European Journal of Mathematics*, vol. 2, no. 3, pp. 477-485. https://doi.org/10.1142/S1793557109000406

}

TY - JOUR

T1 - Hypermeasure theory

AU - Wright, J D Maitland

PY - 2009/9

Y1 - 2009/9

N2 - 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.

AB - 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.

KW - banach

KW - non-commutative

KW - weakly compact

U2 - 10.1142/S1793557109000406

DO - 10.1142/S1793557109000406

M3 - Article

VL - 2

SP - 477

EP - 485

JO - Asian-European Journal of Mathematics

JF - Asian-European Journal of Mathematics

SN - 1793-5571

IS - 3

ER -