A zero-two theorem for a certain class of positive contractions in finite dimensional -spaces
R. Zaharopol (1984)
Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
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R. Zaharopol (1984)
Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
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Daisuke Shimotsuma, Tomomi Yokota, Kentarou Yoshii (2014)
Mathematica Bohemica
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This paper gives the local existence of mild solutions to the Cauchy problem for the complex Ginzburg-Landau type equation in with -initial data in the subcritical case (), where is a complex-valued unknown function, , , , , , , and . The proof is based on the - estimates of the linear semigroup and usual fixed-point argument.
Brian Jefferies, Susumu Okada (2005)
Commentationes Mathematicae Universitatis Carolinae
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Suppose that and are Banach spaces and that the Banach space is their complete tensor product with respect to some tensor product topology . A uniformly bounded -valued function need not be integrable in with respect to a -valued measure, unless, say, and are Hilbert spaces and is the Hilbert space tensor product topology, in which case Grothendieck’s theorem may be applied. In this paper, we take an index and suppose that and are -spaces with the associated...
T. S. Kopaliani (2004)
Czechoslovak Mathematical Journal
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In this paper the notions of uniformly upper and uniformly lower -estimates for Banach function spaces are introduced. Further, the pair of Banach function spaces is characterized, where and satisfy uniformly a lower -estimate and uniformly an upper -estimate, respectively. The integral operator from into of the form is studied, where , , are prescribed functions under some local integrability conditions, the kernel is non-negative and is assumed to satisfy certain...