Artur Buchholz (1998)
Banach Center Publications
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We prove the norm estimates for operator-valued functions on free groups supported on the words with fixed length (). Next, we replace the translations by the free generators with a free family of operators and prove inequalities of the same type.
Kuku, Aderemi O., Tang, Guoping (2003)
Beiträge zur Algebra und Geometrie
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Chirkov, I.V., Shevelin, M.A. (2000)
Siberian Mathematical Journal
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Bazhenova, G.A. (2000)
Siberian Mathematical Journal
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Jian Song, E. Tymchatyn (2000)
Fundamenta Mathematicae
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A space Y is called a free space if for each compactum X the set of maps with hereditarily indecomposable fibers is a dense -subset of C(X,Y), the space of all continuous functions of X to Y. Levin proved that the interval I and the real line ℝ are free. Krasinkiewicz independently proved that each n-dimensional manifold M (n ≥ 1) is free and the product of any space with a free space is free. He also raised a number of questions about the extent of the class of free spaces. In this...
Chekhlov, A.R. (2001)
Sibirskij Matematicheskij Zhurnal
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Timoshenko, E.I. (2000)
Sibirskij Matematicheskij Zhurnal
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Turmanov, M.A. (2001)
Sibirskij Matematicheskij Zhurnal
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Chaoling Huang, Kai Deng (2013)
Matematički Vesnik
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Sano, Mari (2005)
Boletín de la Asociación Matemática Venezolana
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Chirkov, I.V., Shevelin, M.A. (2001)
Sibirskij Matematicheskij Zhurnal
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W. M. Zajączkowski (1995)
Annales Polonici Mathematici
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We prove the local existence of solutions for equations of motion of a viscous compressible barotropic fluid in a domain bounded by a free surface. The solutions are shown to exist in exactly those function spaces where global solutions were found in our previous papers [14, 15].
Bush, Michael R., Gärtner, Jochen, Labute, John, Vogel, Denis (2011)
The New York Journal of Mathematics [electronic only]
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Saharon Shelah (2000)
Fundamenta Mathematicae
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The Kalikow problem for a pair (λ,κ) of cardinal numbers,λ > κ (in particular κ = 2) is whether we can map the family of ω-sequences from λ to the family of ω-sequences from κ in a very continuous manner. Namely, we demand that for η,ν ∈ ω we have: η, ν are almost equal if and only if their images are. We show consistency of the negative answer, e.g., for but we prove it for smaller cardinals. We indicate a close connection with the free subset property and its variants. ...