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  • Author or Editor: Z. Sebestyén x
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Abstract  

An arbitrary linear relation (multivalued operator) acting from one Hilbert space to another Hilbert space is shown to be the sum of a closable operator and a singular relation whose closure is the Cartesian product of closed subspaces. This decomposition can be seen as an analog of the Lebesgue decomposition of a measure into a regular part and a singular part. The two parts of a relation are characterized metrically and in terms of Stone’s characteristic projection onto the closure of the linear relation.

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Periodica Mathematica Hungarica
Authors: Z. Sebestyén, L. Lempert, V. Komornik, T. Szilágyi and T. Szőnyi
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Periodica Mathematica Hungarica
Authors: A. Lee, I. Bihari, M. Farkas, Gy. Terdik, R. Wiegandt, Z. Sebestyén, J. Lehel and V. Totik
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Acta Physiologica Hungarica
Authors: Szabolcs Varbiro, A. Biro, J. Cervenak, L. Cervenak, M. Singh, F. Banhidy, A. Sebestyen, G. Füst and Z. Prohászka

Anti-human Hsp60 autoantibodies — known risk factor of atherosclerosis — were investigated in a mouse model and in samples of healthy subjects: polyreactivity, presence in cord blood samples of healthy newborns and life-long stability were tested. In IgM hybridoma panel from mouse spleens, polyreactivity of anti-Hsp60 autoantibodies was studied. In healthy pregnant women, umbilical vein and maternal blood samples were collected after childbirth, anti-Hsp-60 and -65 IgM and IgG levels were measured. Life-long stability of anti-Hsp-60 levels was studied on healthy patients during 5 years. ELISA was used in all studies. Polyreactivity of IgM clones of newborn mice and lifelong stability of these autoantibodies in healthy adults were established. IgM anti-Hsp60 autoantibodies in cord blood of healthy human infants were present, however, there was no correlation between maternal and cord blood IgM anti-Hsp60 concentrations. It is proposed that presence of anti-Hsp60 autoantibodies — as part of the natural autoantibody repertoire — may be an inherited trait. Level of anti-Hsp60 autoantibodies may be an independent, innate risk factor of atherosclerosis for the adulthood.

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