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On operator ideals related to (p,σ)-absolutely continuous operators

J. López MolinaE. Sánchez Pérez — 2000

Studia Mathematica

We study tensor norms and operator ideals related to the ideal P p , σ , 1 < p < ∞, 0 < σ < 1, of (p,σ)-absolutely continuous operators of Matter. If α is the tensor norm associated with P p , σ (in the sense of Defant and Floret), we characterize the ( α ' ) t -nuclear and ( α ' ) t - integral operators by factorizations by means of the composition of the inclusion map L r ( μ ) L 1 ( μ ) + L p ( μ ) with a diagonal operator B w : L ( μ ) L r ( μ ) , where r is the conjugate exponent of p’/(1-σ). As an application we study the reflexivity of the components of the ideal...

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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