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A potential-theoretic approach to parallel addition

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References

  1. Anderson, W.N., Duffin, R.J.: Series and parallel addition of matrices. J. Math. Anal. Appl.26, 576–594 (1969)

    Google Scholar 

  2. Anderson, W.N., Trapp, G.E.: Shorted operators. II. SIAM J. Appl. Math.28, 60–71 (1975)

    Google Scholar 

  3. Ando, T.: Lebesgue-type decomposition of positive operators. Acta Sci. Math.38, 253–260 (1976)

    Google Scholar 

  4. Arsove, M.G., Leutwiler, H.: Quasi-bounded and singular functions. Trans. Am. Math. Soc.189, 275–302 (1974)

    Google Scholar 

  5. Arsove, M.G., Leutwiler, H.: Infinitesimal generators and quasi-units in potential theory. Proc. Nat. Acad. Sci. USA72, 2498–2500 (1975)

    Google Scholar 

  6. Arsove, M.G., Leutwiler, H.: Algebraic potential theory. Mem. Am. Math. Soc.23, No. 226 (1980)

    Google Scholar 

  7. Arsove, M.G., Leutwiler, H.: A unified theory of harmonic measures and capacitary potentials. Math. Z.183, 419–442 (1983)

    Google Scholar 

  8. Eriksson, S.-L.: Hyperharmonic cones and hyperharmonic morphisms. Ann. Acad. Sci. Fenn. Ser. AI Diss.49, 254–281 (1984)

    Google Scholar 

  9. Fillmore, P.A., Williams, J.P.: On operator ranges. Adv. Math.7, 254–281 (1971)

    Google Scholar 

  10. Heins, M.H.: On the principle of harmonic measure. Comment. Math. Helv.33, 47–58 (1959)

    Google Scholar 

  11. Luxemburg, W.A.J., Zaanen, A.C.: Riesz spaces, Vol. I. New York: North-Holland American Elsevier 1971

    Google Scholar 

  12. Kosaki, H.: Remarks on Lebesgue-type decomposition of positive operators. J. Oper. Theory11, 137–143 (1984)

    Google Scholar 

  13. Nishio, K.: Characterization of Lebesgue-type decomposition of positive operators. Acta Sci. Math. (Szeged)42, 145–152 (1980)

    Google Scholar 

  14. Pekarev, E.L.: Convolutions onto an operator domain. Funk. Anal. Pril.12, 84–85 (1978)

    Google Scholar 

  15. Pekarev, E.L., Smul'jan, Ju.L.: Parallel addition and parallel subtraction of operators. Math. USSR Izv.10, 351–370 (1976)

    Google Scholar 

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Eriksson, SL., Leutwiler, H. A potential-theoretic approach to parallel addition. Math. Ann. 274, 301–317 (1986). https://doi.org/10.1007/BF01457076

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  • DOI: https://doi.org/10.1007/BF01457076

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