arXiv subjects

Anna Golińska

Publications and source records attributed to Anna Golińska.

2 recordsLinked to original sources

arXiv2015

Non power bounded generators of strongly continuous semigroups

It is folklore that a power bounded operator on a sequentially complete locally convex space generates a uniformly continuous $C_0$-semigroup which is given by the corresponding power series representation. Recently, Domański asked if in this result the assumption of being power bounded can be relaxed. We employ conditions introduced by Żelazko to give a weaker but still sufficient condition for generation and apply our results to operators on classical function and sequence spaces.

math.FA↗

arXiv2015

Semigroups of Hadamard multipliers on the space of real analytic functions

An operator $M$ acting on the space of real analytic functions is called a multiplier if every monomial is its eigenvector. In this paper we state some results concerning the problem of generating strongly continuous semigroups by multipliers. In particular we show when the Euler differential operator of finite order is a generator and when it is not.

math.FA↗