Groups in which the subgroup which involves all the substitutions omitting a given letter is regular.
Gauss's Lemma and some related group theory.
p-Isomorphisms of an abelian group of order .
On the number of sets of conjugate subgroups
On the groups generated by two operators of order three whose product is of order four.
Theorems relating to quotient-groups
O pewnem twierdzeniu elementarnem w teoryi grup podstawień
The group generated by two conjoints
Groups generated by two operators satisfying the condition
Extension of a group by operators of orders two and four.
On the group of isomorphisms of an abelian group
Groups generated by two operators which transform each other into the same power.
A construction of an annular function with prescribed local behavior.
The Cesàro and related operators, a survey
We provide a survey of properties of the Cesàro operator on Hardy and weighted Bergman spaces, along with its connections to semigroups of weighted composition operators. We also describe recent developments regarding Cesàro-like operators and indicate some open questions and directions of future research.
Linear maps on Mₙ(ℂ) preserving the local spectral radius
Let x₀ be a nonzero vector in ℂⁿ. We show that a linear map Φ: Mₙ(ℂ) → Mₙ(ℂ) preserves the local spectral radius at x₀ if and only if there is α ∈ ℂ of modulus one and an invertible matrix A ∈ Mₙ(ℂ) such that Ax₀ = x₀ and for all T ∈ Mₙ(ℂ).
On operators T such that f(T) is hypercyclic.
Sur plusieurs groupes simples
The Kato-type spectrum and local spectral theory
Let be a bounded operator on a complex Banach space . If is an open subset of the complex plane such that is of Kato-type for each , then the induced mapping has closed range in the Fréchet space of analytic -valued functions on . Since semi-Fredholm operators are of Kato-type, this generalizes a result of Eschmeier on Fredholm operators and leads to a sharper estimate of Nagy’s spectral residuum of . Our proof is elementary; in particular, we avoid the sheaf model of Eschmeier and...
Page 1