An application of averaging operators to multilinearity

DOI10.1007/BF01459517zbMath0804.46032OpenAlexW2076200730MaRDI QIDQ1318147

Jari Taskinen

Publication date: 12 April 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165147

zbMATH Keywords

Cantor setmultilinear operatorsaveraging operatorsmultilinear operatorcompact metric spacespolynomial operatorcontinuous surjectionalmost Milutin spaceintegral multilinear formproducts of bounded linear operators and the pointwise multiplication operator

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Infinite-dimensional holomorphy (46G20) Classical Banach spaces in the general theory (46B25) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Banach spaces of continuous, differentiable or analytic functions (46E15) Duality and reflexivity in normed linear and Banach spaces (46B10) Nonlinear operators and their properties (47H99)

Related Items (4)

Linearization of holomorphic mappings on \(C(K)\)-spaces ⋮ Factorization of multilinear operators defined on products of function spaces ⋮ Factorization of holomorphic mappings on $C(K)$-spaces ⋮ Polynomials with an integral representation

Cites Work

• Unnamed Item
• An injective characterization of Peano spaces
• Classical Banach spaces
• On a problem of Pełczyński: Milutin spaces, Dugundji spaces and AE(0-dim)
• On a Lemma of Milutin Concerning Averaging Operators in Continuous Function Spaces

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