A universal property of -semigroups
Gerd Herzog; Christoph Schmoeger
Commentationes Mathematicae Universitatis Carolinae (2009)
- Volume: 50, Issue: 1, page 83-88
- ISSN: 0010-2628
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topHerzog, Gerd, and Schmoeger, Christoph. "A universal property of $C_0$-semigroups." Commentationes Mathematicae Universitatis Carolinae 50.1 (2009): 83-88. <http://eudml.org/doc/32482>.
@article{Herzog2009,
abstract = {Let $T:[0, \infty ) \rightarrow L(E)$ be a $C_0$-semigroup with unbounded generator $A:D(A)\rightarrow E$. We prove that $(T(t)x-x)/t$ has generically a very irregular behaviour for $x\notin D(A)$ as $t \rightarrow 0+$.},
author = {Herzog, Gerd, Schmoeger, Christoph},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {$C_0$-semigroups; universal elements; -semigroups; universal element},
language = {eng},
number = {1},
pages = {83-88},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A universal property of $C_0$-semigroups},
url = {http://eudml.org/doc/32482},
volume = {50},
year = {2009},
}
TY - JOUR
AU - Herzog, Gerd
AU - Schmoeger, Christoph
TI - A universal property of $C_0$-semigroups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2009
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 50
IS - 1
SP - 83
EP - 88
AB - Let $T:[0, \infty ) \rightarrow L(E)$ be a $C_0$-semigroup with unbounded generator $A:D(A)\rightarrow E$. We prove that $(T(t)x-x)/t$ has generically a very irregular behaviour for $x\notin D(A)$ as $t \rightarrow 0+$.
LA - eng
KW - $C_0$-semigroups; universal elements; -semigroups; universal element
UR - http://eudml.org/doc/32482
ER -
References
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