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7 papers
Some Inequalities for Continuous Algebra-Multiplications on a Banach Space
Maysam Maysami Sadr
In this short note, we first consider some inequalities for comparison of some algebraic properties of two continuous algebra-multiplications on an arbitrary Banach space and then,…
A note on the best approximation in spaces of affine functions
Maysam Maysami Sadr
The proximinality of certain subspaces of spaces of bounded affine functions is proved. The results presented here are some linear versions of an old result due to Mazur. For the p…
A Note on the Frankl Conjecture
Maysam Maysami Sadr
The Frankl conjecture (called also union-closed sets conjecture) is one of the famous unsolved conjectures in combinatorics of finite sets. In this short note, we introduce and to…
On the structure of noncommutative mapping schemes
Maysam Maysami Sadr
The following three types of objects are considered in a dual functorial formalism: (i) ind-scheme of mappings between two schemes, (ii) for a quantum group G, ind-scheme of G-mapp…
Quantum metrics on noncommutative spaces
Maysam Maysami Sadr
We introduce two new formulations for the notion of "quantum metric on noncommutative space". For a compact noncommutative space associated to a unital C*-algebra, our quantum metr…
A class of Banach algebras of generalized matrices
Maysam Maysami Sadr
We introduce a class of Banach algebras of generalized matrices and study the existence of approximate units, ideal structure, and derivations of them.