A note on approximation of operator semigroups

Jochen Glück

A note on approximation of operator semigroups

Functional Analysis 2016-01-27 v2

Authors: Jochen Glück

Abstract

Let $A$ be a bounded linear operator and $P$ a bounded linear projection on a Banach space $X$ . We show that the operator semigroup $(e^{t(A-kP)})_{t \ge 0}$ converges to a semigroup on a subspace of $X$ as $k \to \infty$ and we compute the limit semigroup.

Keywords

banach space operator semigroups operator theory on banach spaces

Cite

@article{arxiv.1511.02329,
  title  = {A note on approximation of operator semigroups},
  author = {Jochen Glück},
  journal= {arXiv preprint arXiv:1511.02329},
  year   = {2016}
}

Comments

Title changed, a few minor improvements in the text. 7 pages

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