On a Hilbert-type integral inequality in the subinterval and its operator expression.
Yang, Bicheng, Rassias, Themistocles M. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Yang, Bicheng, Rassias, Themistocles M. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Skeide, Michael (2009)
Banach Journal of Mathematical Analysis [electronic only]
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Zagorodnyuk, S. (2010)
Annals of Functional Analysis (AFA) [electronic only]
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Jan Stochel (1992)
Annales Polonici Mathematici
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The paper deals with operator-valued positive definite kernels on a convex *-semigroup whose Kolmogorov-Aronszajn type factorizations induce *-semigroups of bounded shift operators. Any such kernel Φ has a canonical decomposition into a degenerate and a nondegenerate part. In case is commutative, Φ can be disintegrated with respect to some tight positive operator-valued measure defined on the characters of if and only if Φ is nondegenerate. It is proved that a representing measure of...
Olusegun O. Owojori (2008)
Kragujevac Journal of Mathematics
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Kulczycki, Marcin (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Banach Journal of Mathematical Analysis [electronic only]
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