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Remarks on positive definite operator valued functions in linear spacés

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Probability Theory on Vector Spaces

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 656))

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References

  1. Chobanyan, S.A., On some properties of positive operator valued measures in Banach spaces, (in Russian), Bull. Acad. Sci. Georg. SSR 57 (1970), 273–276.

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  2. Chobanyan, S.A., Vakhania, N.N., Wide-sense valued stationary processes in Banach space, (in Russian), Bull. Acad.Sci.Georg. SSR 57 (1970), 545–548.

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  3. Chobanyan, S.A., Weron, A., Banach space valued stationary processes and their linear prediction, Dissertationes Math. 125 (1975).

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  4. Fillmore, P.A., Notes on operator theory, Van Nostrad Reinh. Math.Studies, vol. 30. 1970.

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  5. Górniak, J., Dilations of locally convex spaces valued operator functions, (to be published).

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  6. Górniak, J., Weron A., An analogue of Sz.-Nagy's dilation theorem, Bull.Acad. Polon.Sci., Ser. Sci. Math.Astronom. Phys. 24.10(1976), 867–872.

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  7. Sz.-Nagy, B., Prolongement des transformations de l'espace de Hilbert qui sortent de ces espace, Appendix, F. Riesz et B. Sz.-Nagy, Leçons d'analyse fonctionelle, Paris-Budapest, 1965.

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  8. Vakhania, N.N., Probability distributions on linear space, (in Russian), Meonieraba, Tbilisi 1971.

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  9. Weron, A., On positive definite operator valued functions in Banach spaces, (in Russian), Bull.Acad.Sci. Georg.SSR 71 (1973) 297–300.

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  10. Weron A., Remarks on positive definite operator valued functions in Banach spaces, Bull. Acad. Polon. Sci., Ser. Sci. Math. Astronom. Phys. 24.10 (1976), 873–876.

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Authors and Affiliations

  1. Institute of Mathematics, Wrocław Technical University, 50-370, Wrocław, Poland

    Janusz Gérniak

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  1. Janusz Gérniak
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A. Weron

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© 1978 Springer-Verlag

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Gérniak, J. (1978). Remarks on positive definite operator valued functions in linear spacés. In: Weron, A. (eds) Probability Theory on Vector Spaces. Lecture Notes in Mathematics, vol 656. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068809

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  • DOI: https://doi.org/10.1007/BFb0068809

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08846-2

  • Online ISBN: 978-3-540-35814-5

  • eBook Packages: Springer Book Archive

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