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The associated tensor norm to ( q , p ) -absolutely summing operators on C ( K ) -spaces

J. A. López MolinaEnrique A. Sánchez-Pérez — 1997

Czechoslovak Mathematical Journal

We give an explicit description of a tensor norm equivalent on C ( K ) F to the associated tensor norm ν q p to the ideal of ( q , p ) -absolutely summing operators. As a consequence, we describe a tensor norm on the class of Banach spaces which is equivalent to the left projective tensor norm associated to ν q p .

Hyperbolic heat conduction in two semi-infinite bodies in contact

J. A. López MolinaMacarena Trujillo Guillén — 2005

Applications of Mathematics

We find, under the viewpoint of the hyperbolic model of heat conduction, the exact analytical solution for the temperature distribution in all points of two semi-infinite homogeneous isotropic bodies that initially are at uniform temperatures T 0 1 and T 0 2 , respectively, suddenly placed together at time t = 0 and assuming that the contact between the bodies is perfect. We make graphics of the obtained temperature profiles of two bodies at different times and points. And finally, we compare the temperature...

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