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Good Projections of Spaces of Vector Measures onto Subspaces of Bochner Integrable Functions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Mathematicae, Quaestiones |
| Copyright Year | 2012 |
| Abstract | We show that the complementability of L1(μ,X) in cabv(μ,X) implies the complementability of L1(μ,K(Z,X)) in cabv(μ,K(Z,X)), provided the projection from cabv(μ,X) onto L1(μ,X) is “good”, Z ∗ is separable and K(Z,X) = L(Z,X). The projection got is also “good”, so that it allows to construct a projection from the space L(L1(μ),K(Z,X)) onto the subspace R(L1(μ),K(Z,X)) of all representable operators Mathematics Subject Classification (2000): 28B05, 46G10, 46B20, 46B28, 47L05. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.dmi.unict.it/~emmanuele/pubblicazioni/Quaestiones%20Mathematicae%20Volume%2026%20issue%202%202003%20%5Bdoi%2010.2989%252F16073600309486056%5D%20Emmanuele,%20Giovanni%20--%20Good%20Projections%20of%20Spaces%20of%20Vector%20Measures%20onto%20Subspaces%20of%20Bochner%20Integrable%20Functions.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |