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Abstract We present a vector valued duality between factorable ( q , p ) -summing polynomials and ( q , p ) -summing linear operators on symmetric tensor products of… Click to show full abstract
Abstract We present a vector valued duality between factorable ( q , p ) -summing polynomials and ( q , p ) -summing linear operators on symmetric tensor products of Banach spaces. Several applications are provided. First, we prove a polynomial characterization of cotype of Banach spaces. We also give a variant of Pisier's factorization through Lorentz spaces of factorable ( q , p ) -summing polynomials from C ( K ) -spaces. Finally, we show a coincidence result for ( q , p ) -concave polynomials.
Keywords:
polynomials lorentz;
summing polynomials;
lorentz spaces;
factorization summing
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
Link to full text (if available)
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recommendations!