Linear mappings derivable at some nontrivial elements

Left derivable or Jordan left derivable mappings on Banach algebras

‎Let $mathcal{A}$ be a unital Banach algebra‎, ‎$mathcal{M}$ be a left $mathcal{A}$-module‎, ‎and $W$ in $mathcal{Z}(mathcal{A})$ be a left separating point of $mathcal{M}$‎. ‎We show that if $mathcal{M}$ is a unital left $mathcal{A}$-module and $delta$ is a linear mapping from $mathcal{A}$ into $mathcal{M}$‎, ‎then the following four conditions are equivalent‎: ‎(i) $delta$ is a Jordan left de...

Some Easily Derivable Integer Sequences

We propose and discuss several simple ways of obtaining new enumerative sequences from existing ones. For instance, the number of graphs considered up to the action of an involutory transformation is expressible as the semi-sum of the total number of such graphs and the number of graphs invariant under the involution. Another, less familiar idea concerns evenand odd-edged graphs: the difference...

left derivable or jordan left derivable mappings on banach algebras

‎let $mathcal{a}$ be a unital banach algebra‎, ‎$mathcal{m}$ be a left $mathcal{a}$-module‎, ‎and $w$ in $mathcal{z}(mathcal{a})$ be a left separating point of $mathcal{m}$‎. ‎we show that if $mathcal{m}$ is a unital left $mathcal{a}$-module and $delta$ is a linear mapping from $mathcal{a}$ into $mathcal{m}$‎, ‎then the following four conditions are equivalent‎: ‎(i) $delta$ is a jordan left de...

Comparison of some isoparametric mappings for curved triangular spectral elements

Derivable Type Classes

Generi programming allows you to write a fun tion on e, and use it many times at di erent types. A lot of good foundational work on generi programming has been done. The goal of this paper is to propose a pra ti al way of supporting generi programming within the Haskell language, without radi ally hanging the language or its type system. The key idea is to present generi programming as a ri her...