On Ideals and Lie Ideals of Compact Operators.
Another Analog of Ramsey Numbers.
Associative and Lie subalgebras of finite codimension
Maximal semigroups dominated by 0-1 matrices.
On triangularization of algebras of operators.
Towards a classification of maximal unicellular bands.
Local polynomials are polynomials
We prove that a function f is a polynomial if G◦f is a polynomial for every bounded linear functional G. We also show that an operator-valued function is a polynomial if it is locally a polynomial.
Quadratic operators and invariant subspaces
Multiplicative maps that are close to an automorphism on algebras of linear transformations
Let be a complex, separable Hilbert space of finite or infinite dimension, and let ℬ() be the algebra of all bounded operators on . It is shown that if φ: ℬ() → ℬ() is a multiplicative map(not assumed linear) and if φ is sufficiently close to a linear automorphism of ℬ() in some uniform sense, then it is actually an automorphism; as such, there is an invertible operator S in ℬ() such that for all A in ℬ(). When is finite-dimensional, similar results are obtained with the mere assumption that there...
Multiplicative diagonals of matrix semigroups.
Page 1