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Gómez-Ullate Otaiza, David ; Kamran, Niky ; Milson, Robert | Academic Press-Elsevier Science | 2010-05We prove an extension of Bochner's classical result that characterizes the classical polynomial families as eigenfunctions of a second-order differential operator with polynomial coefficients. The extended result involves considering differentia[...]texto impreso
Borwein, Jonathan M. ; Jiménez Sevilla, María del Mar ; Moreno, José Pedro | Academic Press-Elsevier Science | 2002-01We prove that every Banach space containing a complemented copy of c0 has an antiproximinal body for a suitable norm. If, in addition, the space is separable, there is a pair of antiproximinal norms. In particular, in a separable polyhedral spac[...]texto impreso
Let X be a Banach space, (Omega, Sigma, mu) a finite measure space, and L-1 (mu, X) the Banach space of X-valued Bochner mu-integrable functions defined on Omega endowed with its usual norm. Let us suppose that Sigma(0) is a sub-sigma-algebra of[...]texto impreso
For a compact metric space X let ? be a finite Borel measure on X. The authors investigate the asymptotic behavior of eigenvalues of integral operators on L2(X, ?). These integral operators are assumed to have a positive definite kernel which sa[...]texto impreso
We provide a simple algorithm that constructs an exact minimizer for the E-functional E(t, f ; L?, BV) = inf ?g?L??t ? f ? g?BV . Here L?, BV stand for the space of bounded functions and the space of functions with bounded variation on the inter[...]texto impreso
Cobos, Fernando ; Fernandez-Cabrera, Luz ; Kuehn, Thomas ; Ullrich, Tino | Academic Press-Elsevier Science | 2009We investigate the limit class of interpolation spaces that comes up by the choice ? = 0 in the definition of the real method. These spaces arise naturally interpolating by the J -method associated to the unit square. Their duals coincide with t[...]texto impreso
Let X be a Banach space and let Y be a closed subspace of X. Let 1 less than or equal to p less than or equal to infinity and let us denote by L-p(mu, X) the Banach space of all X-valued Bochner p-integrable (essentially bounded for p = infinity[...]texto impreso
Gómez-Ullate Otaiza, David ; Kasman, Alex ; Kuijlaars, Arno B. J. ; Milson, Robert | Academic Press-Elsevier Science | 2016-04The bispectral anti-isomorphism is applied to differential operators involving elements of the stabilizer ring to produce explicit formulas for all difference operators having any of the Hermite exceptional orthogonal polynomials as eigenfunctio[...]
