Several natural questions about the linear structure of infinite-dimensional normed spaces, that were asked since the early days of the theory, remained without answer for many years. Here are two examples (in this article, Banach space means infinite-dimensional Banach space, real or complex)
Abstract. We analyse several examples of spaces, some of them new, and relate them to several dichot...
We show that the complex normed linear space l(1)(n), n > 1, has no isometric embedding into k x k c...
We show that the complex normed linear space l(1)(n), n > 1, has no isometric embedding into k x k c...
A mapping α from a normed space X into itself is called a Banach operator if there is a constant k s...
Abstract. A mapping α from a normed space X into itself is called a Banach operator if there is a co...
Many of the best-known questions about separable infinite-dimensional Banach spaces are of at least ...
Abstract. A mapping α from a normed space X into itself is called a Banach operator if there is a co...
AbstractWe show that there exist infinite-dimensional extremely non-complex Banach spaces, i.e. spac...
Let X be a separable infinite dimensional real Banach space. There are three general types of questi...
We show that if E is a complex Banach space which contains no subspace isomorphic to l(1), then each...
AbstractThis article is a continuation of a paper of the first author [V. Ferenczi, Uniqueness of co...
If X is a separable infinite dimensional Banach space, the only general operators which are known to...
If X is a separable infinite dimensional Banach space, the only general operators which are known to...
If X and Y are Banach lattices then there are several spaces of linear operators between them that m...
An operator space is defined as a linear space which is equipped with a sequence of matrix norms sat...
Abstract. We analyse several examples of spaces, some of them new, and relate them to several dichot...
We show that the complex normed linear space l(1)(n), n > 1, has no isometric embedding into k x k c...
We show that the complex normed linear space l(1)(n), n > 1, has no isometric embedding into k x k c...
A mapping α from a normed space X into itself is called a Banach operator if there is a constant k s...
Abstract. A mapping α from a normed space X into itself is called a Banach operator if there is a co...
Many of the best-known questions about separable infinite-dimensional Banach spaces are of at least ...
Abstract. A mapping α from a normed space X into itself is called a Banach operator if there is a co...
AbstractWe show that there exist infinite-dimensional extremely non-complex Banach spaces, i.e. spac...
Let X be a separable infinite dimensional real Banach space. There are three general types of questi...
We show that if E is a complex Banach space which contains no subspace isomorphic to l(1), then each...
AbstractThis article is a continuation of a paper of the first author [V. Ferenczi, Uniqueness of co...
If X is a separable infinite dimensional Banach space, the only general operators which are known to...
If X is a separable infinite dimensional Banach space, the only general operators which are known to...
If X and Y are Banach lattices then there are several spaces of linear operators between them that m...
An operator space is defined as a linear space which is equipped with a sequence of matrix norms sat...
Abstract. We analyse several examples of spaces, some of them new, and relate them to several dichot...
We show that the complex normed linear space l(1)(n), n > 1, has no isometric embedding into k x k c...
We show that the complex normed linear space l(1)(n), n > 1, has no isometric embedding into k x k c...