Factorable strongly \(p\)-nuclear \(m\)-homogeneous polynomials

DOI10.1007/S13398-018-0530-ZzbMath1434.46025OpenAlexW2794902386MaRDI QIDQ2314643

Khalil Saadi, Ahlem Alouani, Pilar Rueda, Dahmane Achour

Publication date: 29 July 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-018-0530-z

zbMATH Keywords

multilinear operatornuclear operatorintegral polynomialsumming operator

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) (Spaces of) multilinear mappings, polynomials (46G25) Variational and other types of inclusions (47J22)

Cites Work

• Surveying the spirit of absolute summability on multilinear operators and homogeneous polynomials
• Factorization of \((q,p)\)-summing polynomials through Lorentz spaces
• A note on the concept of factorable strongly \(p\)-summing operators
• Extension of vector-valued integral polynomials
• A polynomial characterization of Hilbert spaces
• Tensor characterizations of summing polynomials
• On the Cohen strongly \(p\)-summing multilinear operators
• On composition ideals of multilinear mappings and homogeneous polynomials
• Polynomial characterization of \({\mathcal L}_{\infty}\)-spaces
• Strongly \(p\)-summing multilinear operators.
• Integral mappings between Banach spaces
• Ideals of integral and \(r\)-factorable polynomials
• On the multilinear generalizations of the concept of absolutely summing operators
• Factorization of \textit{p}-dominated polynomials through \({L}^p\)-spaces
• The \(L_ p\) spaces
• Absolutely \(p\)-summing, \(p\)-nuclear operators and their conjugates
• Comparing different classes of absolutely summing multilinear operators
• On multilinear generalizations of the concept of nuclear operators
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