Opening book details…
Can I read On the Permutative Equivalence of Squares of Unconditional Bases on EtoBox?
On the Permutative Equivalence of Squares of Unconditional Bases by Fernando Albiac; José L. Ansorena is a Mathematics article available to read on EtoBox.
What is On the Permutative Equivalence of Squares of Unconditional Bases about?
We prove that if the squares of two unconditional bases are equivalent up to a permutation, then the bases themselves are permutatively equivalent. This settles a twenty-five year-old question raised by Casazza and Kalton in [13]. Solving this problem provides a new paradigm to study the uniqueness of unconditional basis in the general framework of quasi-Banach spaces. Multiple examples are given to illustrate how to put in practice this theoretical scheme. Among the main applications of this principle we obtain the uniqueness of unconditional basis up to permutation of finite sums of spaces with this property, as well as the first addition to the scant list of the known Banach spaces with a unique unconditional bases up to permutation since [14].
Who reads On the Permutative Equivalence of Squares of Unconditional Bases?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Fernando Albiac; José L. Ansorena
- Publisher
- Elsevier BV
- Published
- 2022
- Language
- EN
- Field
- Mathematics (Physical Sciences)