On projections on subspaces of codimension one

Projections of normed linear spaces with closed subspaces of finite codimension as kernels

It follows from [1] and [7] that any closed n-codimensional subspace (n ≥ 1 integer) of a real Banach space X is the kernel of a projection X → X, of norm less than f(n) + ε (ε > 0 arbitrary), where f(n) = 2 + (n − 1) √ n + 2 n + 1 . We have f(n) < √ n for n > 1, and f(n) = √ n − 1 √ n + O (

Projections onto linear subspaces

Viewing vector/matrix multiplications as " projections onto linear subspaces " is one of the most useful ways to think about these operations. In this note, I'll put together necessary pieces to achieve this understanding.

Comment on frame's of subspaces

effect of oral presentation on development of l2 learners grammar

this experimental study has been conducted to test the effect of oral presentation on the development of l2 learners grammar. but this oral presentation is not merely a deductive instruction of grammatical points, in this presentation two hypotheses of krashen (input and low filter hypotheses), stevicks viewpoints on grammar explanation and correction and widdowsons opinion on limited use of l1...

On Codimension One Nilfoliations and a Theorem of Malcev

A HOMOGENEOUS space of a (connected) Lie group G is a manifold on which G acts transitively; these manifolds have been studied for many years. A particularly interesting family of non transitive actions is that of actions whose orbits are the leaves of a foliation. If one tries to describe them, one naturally restricts to the codimension 1 case. Here we study foliations defined by locally free ...