Zobrazeno 1 - 10
of 122
pro vyhledávání: '"Michael Leinert"'
Publikováno v:
Results in Mathematics. 78
The spaces $BV(\sigma)$ and $AC(\sigma)$ were introduced as part of a program to find a general theory which covers both well-bounded operators and trigonometrically well-bounded operators acting on a Banach space. Since their initial appearance it h
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42007bfed4f7463c3924e7d8e8fc740b
https://doi.org/10.1007/s00025-022-01788-0
https://doi.org/10.1007/s00025-022-01788-0
Publikováno v:
Banach Journal of Mathematical Analysis. 17
For a nonempty compact subset $\sigma$ in the plane, the space $AC(\sigma)$ is the closure of the space of complex polynomials in two real variables under a particular variation norm. In the classical setting, $AC[0,1]$ contains several other useful
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc9a5523bc545566d4f06638ddcaf18f
https://doi.org/10.1007/s43037-022-00229-y
https://doi.org/10.1007/s43037-022-00229-y
Publikováno v:
Ann. Funct. Anal. 6, no. 4 (2015), 30-59
The following theorem on the circle group $\mathbb{T}$ is due to Norbert Wiener: If $f\in L^{1}\left(\mathbb{T}\right)$ has non-negative Fourier coefficients and is square integrable on a neighbourhood of the identity, then $f\in L^{2}\left( \mathbb{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6de3f5e4a2da93d279b04a7326dc3a5
Autor:
Gero Fendler, Michael Leinert
Publikováno v:
Adv. Oper. Theory 4, no. 1 (2019), 99-112
If $G$ is a locally compact group, $CD(G)$ the algebra of convolution dominated operators on $L^2(G)$ then an important question is: Is $\mathbb{C}1+CD(G)$ (respectively $CD(G)$ if $G$ is discrete) inverse-closed in the bounded operators on $L^2(G)$?
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db61272b654f2641ba90c0ccf29fb1d5
Autor:
Michael Leinert
Segal algebras are dense ideals in group algebras. The results, reported below, point out that Segal algebras behave in some sense like group algebras (see section I), but they also are quite different in some other sense (section II).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b59b1e5ecbbabb9e2a35ed9a08cb3d5a
Autor:
Gero Fendler, Michael Leinert
For a locally compact group $G$ we consider the algebra $CD(G)$ of convolution dominated operators on $L^{2}(G)$: An operator $A:L^2(G)\to L^2(G)$ is called convolution dominated if there exists $a\in L^1(G)$ such that for all $f \in L^2(G)$ $ |Af(x)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8848d16c51ecd183471b1ae26d0b9d31
Autor:
Anthony To-Ming Lau, Michael Leinert
We establish some characterizations of the weak fixed point property (weak fpp) for noncommutative (and commutative) L 1 spaces and use this for the Fourier algebra A(G) of a locally compact group G. In particular we show that if G is an IN-group, th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f93e0c2dc66671ea8efeef46a5a875d
Autor:
Michael Leinert
An example is given of a semisimple commutative Banach algebra which factorizes but whose norm is not equivalent to the norm induced by its regular representation. This is a stronger version of the example given in [4] and it can be viewed as an exam
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a126f29b7567a329ad5f12b668b4fc77