7 papers
On positive Banach-Mazur distance
Maciej Korpalski, Grzegorz Plebanek
In this working note we study the one-sided positive Banach-Mazur distance between some pairs of Banach spaces. Building on methods developed in [4], we solve, in particular…
Counting spaces of functions on separable compact lines
Maciej Korpalski, Piotr Koszmider, Witold Marciszewski
We investigate the following general problem, closely related to the problem of isomorphic classification of Banach spaces of continuous real-valued functions on a compact s…
Bounds for Banach-Mazur distances between some -spaces
Maciej Korpalski, Grzegorz Plebanek
We present several results providing lower bounds for the Banach-Mazur distance \[d_{BM}(C(K), C(L))\] between Banach spaces of continuous functions on compact spaces. The main foc…
How many miles from to ?
Maciej Korpalski, Grzegorz Plebanek
The classical Banach spaces and are isomorphic. We present here some lower and upper bounds for their Banach-Mazur distance.
Semadeni-Pełczyński derivative and functions on nonmetrizable cubes
Maciej Korpalski
We study Banach spaces of real-valued continuous functions from the finite product of compact lines. It turns out that the topological character of these compact lines can b…
Barely alternating real almost chains and extension operators for compact lines
Antonio Avilés, Maciej Korpalski
Assume . We show that for every real chain of size in the quotient Boolean algebra we can find an almost chain of representatives such that every $n\in…
Countable discrete extensions of compact lines
Maciej Korpalski, Grzegorz Plebanek
We consider a separable compact line and its extension consisting of and a countable number of isolated points. The main object of study is the existence of a bounded e…