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Vector Measures, Integration and Related Topics pp 109–113Cite as

Compactness of Multiplication Operators on Spaces of Integrable Functions with Respect to a Vector Measure

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 201))

Abstract

We study properties of compactness of multiplication operators between spaces of p-power integrable scalar functions with respect to a vector measure m.

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References

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Author information

Authors and Affiliations

  1. Dpto. Matemática Aplicada I, EUITA, Ctra. de Utrera Km. 1, E-41013, Sevilla, Spain

    Ricardo del Campo

  2. Dpto. Matemática Apda. II, Escuela Técnica Superior de Ingenieros, E-41092, Sevilla, Spain

    Antonio Fernández, Fernando Mayoral & Francisco Naranjo

  3. I.M.P.A., Universidad Politécnica de Valencia, E-46022, Valencia, Spain

    Irene Ferrando

Authors
  1. Ricardo del Campo
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  2. Antonio Fernández
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  3. Fernando Mayoral
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  4. Francisco Naranjo
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  5. Irene Ferrando
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Editor information

Editors and Affiliations

  1. Facultad de Matemáticas, Universidad de Sevilla, 41080, Sevilla, Spain

    Guillermo P. Curbera

  2. Fachbereich 6: Mathematik, Universität Siegen, 57068, Siegen, Germany

    Gerd Mockenhaupt

  3. Mathematisch-Geographische Fakultät, Katholische Universität Eichstätt-Ingolstadt, 85072, Eichstätt, Germany

    Werner J. Ricker

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© 2009 Birkhäuser Verlag Basel/Switzerland

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Cite this paper

del Campo, R., Fernández, A., Mayoral, F., Naranjo, F., Ferrando, I. (2009). Compactness of Multiplication Operators on Spaces of Integrable Functions with Respect to a Vector Measure. In: Curbera, G.P., Mockenhaupt, G., Ricker, W.J. (eds) Vector Measures, Integration and Related Topics. Operator Theory: Advances and Applications, vol 201. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0211-2_10

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