On dyadic subspaces

Comment on frame's of subspaces

Maximal prehomogeneous subspaces on classical groups

Suppose $G$ is a split connected‎ ‎reductive orthogonal or symplectic group over an infinite field‎ ‎$F,$ $P=MN$ is a maximal parabolic subgroup of $G,$ $frak{n}$ is‎ ‎the Lie algebra of the unipotent radical $N.$ Under the adjoint‎ ‎action of its stabilizer in $M,$ every maximal prehomogeneous‎ ‎subspaces of $frak{n}$ is determined‎.

Reflections on Dyadic Compacta

Let M be an elementary submodel of the universe of sets, and hX; T i a topological space in M . Let XM be X \M with topology generated by fU \M : U 2 T \Mg. Let D be the two-point discrete space. Suppose the least cardinal of a basis for XM is a member of M , and XM is an uncountable continuous image of D . Then X = XM if either 0 # doesn't exist or is less than the rst inaccessible cardinal. A...

On smooth fuzzy subspaces

On Contractively Complemented Subspaces

Abstract. It is shown that for an L1-predual space X and a countable linearly independent subset of ext(BX∗) whose norm-closed linear span Y in X∗ is w∗-closed, there exists a w∗-continuous contractive projection from X∗ onto Y . This result combined with those of Pelczynski and Bourgain yields a simple proof of the Lazar-Lindenstrauss theorem that every separable L1-predual with non-separable ...