We study the following question: suppose that A and ℬ are two algebras of complex n × n matrices such that the ring commutator [A, B] = AB – BA is "small" for each A ∈ A and B ∈ ℬ; does this imply ...

The objectives of this course are: to develop competence in the basic concepts of linear algebra, including systems of linear equations, vector spaces, subspaces, linear transformations, the ...

Let F be a complex Banach space, B(F) the algebra of all bounded operators acting on F, E = E(ℂ, B(F)) the Fréchet space of all entire functions from the complex plane into B(F), endowed with the ...