Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 3

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

Multiplicative monotone convolutions

100%
Franz U.
Banach Center Publications
|
2006
|
tom 73
|
nr 1
153-166
EN
Recently, Bercovici has introduced multiplicative convolutions based on Muraki's monotone independence and shown that these convolution of probability measures correspond to the composition of some function of their Cauchy transforms. We provide a new proof of this fact based on the combinatorics of moments. We also give a new characterisation of the probability measures that can be embedded into continuous monotone convolution semigroups of probability measures on the unit circle and briefly discuss a relation to Galton-Watson processes.
2
Content available remote

On ergodic properties of convolution operators associated with compact quantum groups

63%
Franz U., Skalski A.
Colloquium Mathematicum
|
2008
|
tom 113
|
nr 1
13-23
EN
Recent results of M. Junge and Q. Xu on the ergodic properties of the averages of kernels in noncommutative $L^{p}$-spaces are applied to the analysis of almost uniform convergence of operators induced by convolutions on compact quantum groups.
3
Content available remote

Idempotent States and the Inner Linearity Property

51%
Banica T., Franz U., Skalski A.
Bulletin of the Polish Academy of Sciences. Mathematics
|
2012
|
tom 60
|
nr 2
123-132
EN
We find an analytic formulation of the notion of Hopf image, in terms of the associated idempotent state. More precisely, if π:A → Mₙ(ℂ) is a finite-dimensional representation of a Hopf C*-algebra, we prove that the idempotent state associated to its Hopf image A' must be the convolution Cesàro limit of the linear functional φ = tr ∘ π. We then discuss some consequences of this result, notably to inner linearity questions.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.