Swartz type results for nuclear and multiple 1-summing bilinear operators on \(c_0(\mathcal {X})\times c_0(\mathcal {Y})\)
From MaRDI portal
Publication:496784
DOI10.1007/S11117-014-0310-8zbMATH Open1343.47026OpenAlexW2035497768MaRDI QIDQ496784
Publication date: 22 September 2015
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11117-014-0310-8
Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Banach sequence spaces (46B45) Operator ideals (47L20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The summing nature of the multiplication operator from \(l_{p}\left( \mathcal {X}\right) \) into \( c_{0}\left( \mathcal {Y}\right) \)
- Remarks on multiple summing operators on \(C(\Omega)\)-spaces
- Coordinatewise multiple summing operators in Banach spaces
- Fully, absolutely summing and Hilbert-Schmidt multilinear mappings
- Multiple summing operators on \(C(K)\) spaces
- Nuclear multilinear operators with respect to a partition
- 2-summing multiplication operators
- On Nuclear and Multiple Summing Bilinear Operators onc0×c0
- Operator ideals and spaces of bilinear operators
- Diagonal mappings between sequence spaces
- Multilinear extensions of Grothendieck's theorem
- Absolutely Summing and Dominated Operators on Spaces of Vector-Valued Continuous Functions
Related Items (5)
Optimal exponents for Hardy-Littlewood inequalities for \(m\)-linear operators ⋮ Examples of summing, integral and nuclear operators on the space \(C([0,1,X)\) with values in \(C_{0}\)] ⋮ Nuclear bilinear operators on \(X\times c_0(\mathcal{Y})\) ⋮ Nuclear and multiple 1-summing operators on \(X_1 \times \cdots \times X_k \times c_0\) ⋮ Remarks on an inequality of Hardy and Littlewood
This page was built for publication: Swartz type results for nuclear and multiple 1-summing bilinear operators on \(c_0(\mathcal {X})\times c_0(\mathcal {Y})\)