The Banach envelope of $weakL\sp1$ (denoted $wL\sb{\1})$ is a sort of universal Banach space for separable Banach spaces. In this paper, we can see the complemented Banach subspaces of $wL\sb{\1}.$ In particular, the space $wL\sb{\1}$ contains complemented Banach sublattices that are isometrically isomorphic $l\sp{p}\ (1 \le p < \infty)$ and $c\sb0.$ Moreover, if E is a separable reflexive Banach lattice, then the space $wL\sb{\1}$ contains a complemented sublattice that is isometrically isomorphic to E. Also we can see nonseparable complemented subspaces of $wL\sb{\1}.$ Finally, we show a couple of noncomplemented subspaces of $wL\sb{\1}.$U of I OnlyETDs are only available to UIUC Users without author permissio
AbstractAs natural generalizations of complemented subspaces, we introduce pseudo-complemented and s...
Summary: We have not addressed certain important problems that remain unsolved after many years conc...
Summary: We have not addressed certain important problems that remain unsolved after many years conc...
The Banach envelope of $weakL\sp1$ (denoted $wL\sb{\1})$ is a sort of universal Banach space for sep...
AbstractWe give several characterizations of those Banach spaces X such that the dual X∗ contains a ...
Most of the material discussed below will appear in the forthcoming paper by T. Figiel, W. B. Johnso...
For many years mathematicians have been interested in the problem of whether an operator ideal is co...
For many years mathematicians have been interested in the problem of whether an operator ideal is c...
AbstractWe give several characterizations of those Banach spaces X such that the dual X∗ contains a ...
Bessaga and Pełczyński showed that if $c_0$ embeds in the dual $X^*$ of a Banach space X, then $ℓ^1$...
AbstractWe prove a number of results concerning isomorphisms between spaces of the type Lp(X), where...
AbstractBanach spaces X whose duals are isomorphic or isometric to l1(Γ) are characterized by certai...
1. Sobczyk’s theorem and how to prove it Sobczyk’s theorem is usually stated as: Every copy of c0 in...
Orientador: Jorge Tulio Mujica AscuiDissertação (mestrado) - Universidade Estadual de Campinas, Inst...
For $\Omega$ an open subset of $\R^N$ and $1<p<\infty$ we prove that any complemented subspace $E$...
AbstractAs natural generalizations of complemented subspaces, we introduce pseudo-complemented and s...
Summary: We have not addressed certain important problems that remain unsolved after many years conc...
Summary: We have not addressed certain important problems that remain unsolved after many years conc...
The Banach envelope of $weakL\sp1$ (denoted $wL\sb{\1})$ is a sort of universal Banach space for sep...
AbstractWe give several characterizations of those Banach spaces X such that the dual X∗ contains a ...
Most of the material discussed below will appear in the forthcoming paper by T. Figiel, W. B. Johnso...
For many years mathematicians have been interested in the problem of whether an operator ideal is co...
For many years mathematicians have been interested in the problem of whether an operator ideal is c...
AbstractWe give several characterizations of those Banach spaces X such that the dual X∗ contains a ...
Bessaga and Pełczyński showed that if $c_0$ embeds in the dual $X^*$ of a Banach space X, then $ℓ^1$...
AbstractWe prove a number of results concerning isomorphisms between spaces of the type Lp(X), where...
AbstractBanach spaces X whose duals are isomorphic or isometric to l1(Γ) are characterized by certai...
1. Sobczyk’s theorem and how to prove it Sobczyk’s theorem is usually stated as: Every copy of c0 in...
Orientador: Jorge Tulio Mujica AscuiDissertação (mestrado) - Universidade Estadual de Campinas, Inst...
For $\Omega$ an open subset of $\R^N$ and $1<p<\infty$ we prove that any complemented subspace $E$...
AbstractAs natural generalizations of complemented subspaces, we introduce pseudo-complemented and s...
Summary: We have not addressed certain important problems that remain unsolved after many years conc...
Summary: We have not addressed certain important problems that remain unsolved after many years conc...