### Abstract

Criteria are presented for determining whether or not the integration operator ƒ → ƒ is compact for a given particular vector measurem We also present a method for constructing both compact and noncompact integration operators associated with

*l*^{1}valued vector measures.Original language | English |
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Pages (from-to) | 175-188 |

Number of pages | 14 |

Journal | Tatra Mountains Mathematical Publications |

Volume | 24 |

Issue number | 2 |

Publication status | Published - 2002 |

### Keywords

- vector measure
- variation
- integration operator
- compact operator

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## Cite this

Okada, S., & Ricker, W. J. (2002). Criteria for determining compactness of the integration operator associated with a vector measure.

*Tatra Mountains Mathematical Publications*,*24*(2), 175-188.