Multiple summing operators on \(C(K)\) spaces
From MaRDI portal
Publication:1880447
DOI10.1007/BF02432914zbMath1063.46032OpenAlexW1987555529MaRDI QIDQ1880447
David Pérez-García, Ignacio Villanueva
Publication date: 28 September 2004
Published in: Arkiv för Matematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02432914
Geometry and structure of normed linear spaces (46B20) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) (Spaces of) multilinear mappings, polynomials (46G25)
Related Items
Summability of the coefficients of a multilinear form ⋮ Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators ⋮ Blei's inequality and coordinatewise multiple summing operators ⋮ On the Cohen strongly \(p\)-summing multilinear operators ⋮ Optimal exponents for Hardy-Littlewood inequalities for \(m\)-linear operators ⋮ Inclusion and coincidence properties for Cohen strongly summing multilinear operators ⋮ A regularity principle in sequence spaces and applications ⋮ Nuclear and multiple 1-summing operators on \(X_1 \times \cdots \times X_k \times c_0\) ⋮ A tensor norm preserving unconditionality for $\mathcal{L}_p$-spaces ⋮ Multiple summing operators on Banach spaces. ⋮ Optimal estimates for summing multilinear operators ⋮ Unnamed Item ⋮ Coincidence situations for absolutely summing nonlinear mappings ⋮ Swartz type results for nuclear and multiple 1-summing bilinear operators on \(c_0(\mathcal {X})\times c_0(\mathcal {Y})\) ⋮ Multiple summing maps: coordinatewise summability, inclusion theorems and \(p\)-Sidon sets ⋮ Hilbert-Schmidt and multiple summing operators ⋮ Complex interpolation and summability properties of multilinear operators ⋮ Positive multiple summing and concave multilinear operators on Banach lattices ⋮ Inclusions and coincidences for multiple summing multilinear mappings ⋮ Remarks on multiple summing operators on \(C(\Omega)\)-spaces ⋮ When every multilinear mapping is multiple summing ⋮ An integral formula for multiple summing norms of operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multilinear operators on spaces of continuous functions
- Multiple summing operators on Banach spaces.
- On the absolute convergence of Dirichlet series
- Fully, absolutely summing and Hilbert-Schmidt multilinear mappings
- Polynomial characterization of \({\mathcal L}_{\infty}\)-spaces
- Strongly \(p\)-summing multilinear operators.
- Integral mappings between Banach spaces
- A composition theorem for multiple summing operators
- The Dunford–Pettis property on tensor products
- Multilinear Mappings of Nuclear and Integral Type
- Operator ideals and spaces of bilinear operators
- Tensor Powers of Operators and Nuclearity
- A Hahn-Banach extension theorem for analytic mappings
- Some results in the metric theory of tensor products
- Norm Attaining Bilinear Forms on Spaces of Continuous Functions
- Multilinear extensions of Grothendieck's theorem
- The inclusion theorem for multiple summing operators
- Fully Nuclear and Completely Nuclear Operators with Applications to ℒ 1 - and ℒ ∞ -Spaces
- Quotient Algebras of Uniform Algebras
- Integral operators on the product of \(C(K)\) spaces.