Entropy numbers of certain summation operators.
Creutzig, J., Linde, W. (2001)
Georgian Mathematical Journal
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Creutzig, J., Linde, W. (2001)
Georgian Mathematical Journal
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K. Rauf, C. O. Imoru (2002)
Kragujevac Journal of Mathematics
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Marek Ptak (1995)
Annales Polonici Mathematici
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We present a model for two doubly commuting operator weighted shifts. We also investigate general pairs of operator weighted shifts. The above model generalizes the model for two doubly commuting shifts. WOT-closed algebras for such pairs are described. We also deal with reflexivity for such pairs assuming invertibility of operator weights and a condition on the joint point spectrum.
Miroslav Katětov (1992)
Commentationes Mathematicae Universitatis Carolinae
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We describe a conceptual approach which provides a unified view of various entropy-like functionals on the class of semimetric spaces, endowed with a bounded measure. The entropy considered in the author’s previous articles is modified so as to assume finite values for a fairly wide class of spaces which fail to be totally bounded.
Agnieszka Kałamajska (1993)
Colloquium Mathematicae
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Shiying Zhao (1996)
Colloquium Mathematicae
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In this paper, we discuss a class of weighted inequalities for operators of potential type on homogeneous spaces. We give sufficient conditions for the weak and strong type weighted inequalities sup_{λ>0} λ|{x ∈ X : |T(fdσ)(x)|>λ }|_{ω}^{1/q} ≤ C (∫_{X} |f|^{p}dσ)^{1/p} and (∫_{X} |T(fdσ)|^{q}dω )^{1/q} ≤ C (∫_X |f|^{p}dσ )^{1/p} in the cases of 0 < q < p ≤ ∞ and 1 ≤ q < p < ∞, respectively, where T is an operator of potential type, and ω and σ are Borel measures on...
Cavalheiro, A.C. (2008)
Acta Mathematica Universitatis Comenianae. New Series
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Meskhi, A. (1998)
Georgian Mathematical Journal
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Genebashvili, I., Gogatishvili, A., Kokilashvili, V. (1996)
Georgian Mathematical Journal
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