13 citations · 31 across the 12 of their papers we have counts for
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Structure of closed subideals of
Hans-Olav Tylli, Henrik Wirzenius
The closed subalgebra of the Banach algebra of bounded linear operators on the Banach space is a non-trivial closed -subideal of $\math…
Exotic closed subideals of algebras of bounded operators
Hans-Olav Tylli, Henrik Wirzenius
We exhibit a Banach space failing the approximation property, for which there is an uncountable family of closed subideals contained in the Banach algebra $\mathca…
Closed ideals in the algebra of compact-by-approximable operators
Hans-Olav Tylli, Henrik Wirzenius
We construct various examples of non-trivial closed ideals of the compact-by-approximable algebra on Banach spaces failing the ap…
Quotient algebra of compact-by-approximable operators on Banach spaces failing the approximation property
Hans-Olav Tylli, Henrik Wirzenius
We initiate a study of structural properties of the quotient algebra of the compact-by-approximable operators on Banach spaces failing the approxi…
Structural rigidity of generalised Volterra operators on
Santeri Miihkinen, Pekka J. Nieminen, Eero Saksman +1
We show that the non-compact generalised analytic Volterra operators , where , have the following structural rigidity property on the Hardy spaces f…
Optimal growth of harmonic functions frequently hypercyclic for the partial differentiation operator
Clifford Gilmore, Eero Saksman, Hans-Olav Tylli
We solve a problem posed by Blasco, Bonilla and Grosse-Erdmann in 2010 by constructing a harmonic function on , that is frequently hypercyclic with respect to the par…
On universal operators and universal pairs
Riikka Schroderus, Hans-Olav Tylli
We study some basic properties of the class of universal operators on Hilbert space, and provide new examples of universal operators and universal pairs.
Hypercyclicity Properties of Commutator Maps
Clifford Gilmore, Eero Saksman, Hans-Olav Tylli
We investigate the hypercyclic properties of commutator maps acting on separable ideals of operators. As the main result we prove the commutator map induced by scalar multiples of…
Rigidity of composition operators on the Hardy space
Jussi Laitila, Pekka J. Nieminen, Eero Saksman +1
Let be an analytic map taking the unit disk into itself. We establish that the class of composition operators exhibits a rather stro…
Composition operators on vector-valued analytic function spaces: a survey
Jussi Laitila, Hans-Olav Tylli
We survey recent results about composition operators induced by analytic self-maps of the unit disk in the complex plane on various Banach spaces of analytic functions taking value…
Compact and weakly compact composition operators on BMOA
Jussi Laitila, Pekka J. Nieminen, Eero Saksman +1
We show that a composition operator induced by an analytic self-map of the unit disc in the complex plane is weakly compact on the space BMOA precisely when the operator is compact…
Weakly compact approximation in Banach spaces
Edward Odell, Hans-Olav Tylli
The Banach space has the weakly compact approximation property (W.A.P. for short) if there is a constant so that for any weakly compact set and $ε> 0…
Representing non-weakly compact operators
Manuel Gonzalez, Eero Saksman, H. Tylli
For each (with a Banach space) the operator is defined by \quad (). We study mapping pro…