Subordination for sequentially equicontinuous equibounded C -semigroups

Karsten Kruse; Jan Meichsner; Christian Seifert

doi:10.1007/s00028-021-00700-7

Subordination for sequentially equicontinuous equibounded C -semigroups

Karsten Kruse
, Jan Meichsner
, Christian Seifert^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

8 Citations (Scopus)

5 Downloads (Pure)

Abstract

We consider operators A on a sequentially complete Hausdorff locally convex space X such that - A generates a (sequentially) equicontinuous equibounded C-semigroup. For every Bernstein function f we show that - f(A) generates a semigroup which is of the same ‘kind’ as the one generated by - A. As a special case we obtain that fractional powers - A^α, where α∈ (0 , 1) , are generators.

Original language	English
Pages (from-to)	2665-2690
Number of pages	26
Journal	Journal of evolution equations
Volume	21
Issue number	2
DOIs	https://doi.org/10.1007/s00028-021-00700-7
Publication status	Published - Jun 2021
Externally published	Yes

Keywords

Bi-continuous semigroups
C-semigroups
Sequential equicontinuity
Subordination

Access to Document

10.1007/s00028-021-00700-7Licence: CC BY

s00028-021-00700-7Final published version, 442 KBLicence: CC BY

Cite this

@article{10fd2974b9da44099532d9b0b2e4158b,

title = "Subordination for sequentially equicontinuous equibounded C -semigroups",

abstract = "We consider operators A on a sequentially complete Hausdorff locally convex space X such that - A generates a (sequentially) equicontinuous equibounded C-semigroup. For every Bernstein function f we show that - f(A) generates a semigroup which is of the same {\textquoteleft}kind{\textquoteright} as the one generated by - A. As a special case we obtain that fractional powers - Aα, where α∈ (0 , 1) , are generators.",

keywords = "Bi-continuous semigroups, C-semigroups, Sequential equicontinuity, Subordination",

author = "Karsten Kruse and Jan Meichsner and Christian Seifert",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s).",

year = "2021",

month = jun,

doi = "10.1007/s00028-021-00700-7",

language = "English",

volume = "21",

pages = "2665--2690",

journal = "Journal of evolution equations",

issn = "1424-3199",

publisher = "Springer",

number = "2",

}

TY - JOUR

T1 - Subordination for sequentially equicontinuous equibounded C -semigroups

AU - Kruse, Karsten

AU - Meichsner, Jan

AU - Seifert, Christian

PY - 2021/6

Y1 - 2021/6

N2 - We consider operators A on a sequentially complete Hausdorff locally convex space X such that - A generates a (sequentially) equicontinuous equibounded C-semigroup. For every Bernstein function f we show that - f(A) generates a semigroup which is of the same ‘kind’ as the one generated by - A. As a special case we obtain that fractional powers - Aα, where α∈ (0 , 1) , are generators.

AB - We consider operators A on a sequentially complete Hausdorff locally convex space X such that - A generates a (sequentially) equicontinuous equibounded C-semigroup. For every Bernstein function f we show that - f(A) generates a semigroup which is of the same ‘kind’ as the one generated by - A. As a special case we obtain that fractional powers - Aα, where α∈ (0 , 1) , are generators.

KW - Bi-continuous semigroups

KW - C-semigroups

KW - Sequential equicontinuity

KW - Subordination

UR - https://www.scopus.com/pages/publications/85105413557

U2 - 10.1007/s00028-021-00700-7

DO - 10.1007/s00028-021-00700-7

M3 - Article

AN - SCOPUS:85105413557

SN - 1424-3199

VL - 21

SP - 2665

EP - 2690

JO - Journal of evolution equations

JF - Journal of evolution equations

IS - 2

ER -

Subordination for sequentially equicontinuous equibounded C -semigroups

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this