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Author:Eberhard Kaniuth
Data Source:[J].Journal of Functional Analysis(IF 1.252), 2017, Vol.272 (2), pp.559-576Elsevier
Abstract:Abstract(#br)Continuing research begun in [15] and [16], we investigate the problem of when a closed subgroup H of a nilpotent locally compact group G has the property that every continuous positive definite function on H extends to some such function on G . The main result is an...
Author:Eberhard Kaniuth , Ali Ülger
Data Source:[J].Journal of Functional Analysis(IF 1.252), 2015, Vol.268 (8), pp.2142-2170Elsevier
Abstract:Abstract(#br)Let A be a regular and semisimple commutative Banach algebra with structure space Δ ( A ) . Continuing the investigations of [7] and [9], we establish various results on weak spectral sets in Δ ( A ) . To each closed subset of Δ ( A ) we associate a descending s...
Author:Robert J. Archbold , Eberhard Kaniuth , Douglas W.B. Somerset
Data Source:[J].Advances in Mathematics(IF 1.373), 2015, Vol.280, pp.225-255Elsevier
Abstract:Abstract(#br)The derivation constant K ( A ) ≥ 1 2 has been extensively studied for unital non-commutative C ⁎ -algebras. In this paper, we investigate properties of K ( M ( A ) ) where M ( A ) is the multiplier algebra of a non-unital C ⁎ -algebra A . A number of gener...
Author:Eberhard Kaniuth , Ali Ülger
Data Source:[J].Monatshefte für Mathematik(IF 0.698), 2016, Vol.181 (4), pp.839-853Springer
Abstract:Abstract(#br)Motivated by and extending a theorem of Reiter on sets of synthesis in \(\mathbb {R}^N\) , we establish a general result for Fourier algebras of locally compact groups, even in the wider context of regular, semisimple and Tauberian commutative Banach algebras, w...
Author:Eberhard Kaniuth , Ali Ülger
Data Source:[J].Archiv der Mathematik(IF 0.376), 2015, Vol.105 (1), pp.67-77Springer
Abstract:Abstract(#br)We extend the notion of a strong Ditkin set in the dual group for the \({L^1}\) -algebra of a locally compact abelian group as well as a large number of results for such sets to the setting of a general regular and semisimple commutative Banach algebra and its spectr...
Author:Sina Degenfeld-Schonburg , Eberhard Kaniuth , Rupert Lasser
Data Source:[J].Journal of Fourier Analysis and Applications(IF 1.079), 2014, Vol.20 (2), pp.258-281Springer
Abstract:Abstract(#br)Let H be an ultraspherical hypergroup associated to a locally compact group G and a spherical projector π (in Muruganandam, Math. Nachr. 281:1590–1603, 2008 ). We investigate spectral synthesis properties of the Fourier algebra A ( H ), partly building on result...
Author:Eberhard Kaniuth , Ali Ülger
Data Source:[J].Bulletin des sciences mathématiques(IF 0.569), 2013, Vol.137 (1), pp.45-62Elsevier
Abstract:Abstract(#br)Let G be an arbitrary locally compact group and B ( G ) its Fourier–Stieltjes algebra. An element u of B ( G ) is called power bounded if sup n ∈ N ‖ u n ‖ < ∞ . We present a detailed analysis of the structure of power bounded elements of B ( G ) and c...
Author:Eberhard Kaniuth , Keith F. Taylor
Data Source:[J].Monatshefte für Mathematik(IF 0.698), 2012, Vol.165 (3-4), pp.335-352Springer
Abstract:Abstract(#br)The structure of a compact open set in the dual of an [FC] − group G , a locally compact group with relatively compact conjugacy classes, is given in terms of certain subsets which arise somewhat naturally. The support in the dual of a projection in L 1 ( G ) is...
Author:Eberhard Kaniuth
Data Source:[J].Journal of Functional Analysis(IF 1.252), 2010, Vol.259 (2), pp.524-544Elsevier
Abstract:Abstract(#br)Let A be a semisimple and regular commutative Banach algebra with structure space Δ ( A ) . Continuing our investigation in [E. Kaniuth, Weak spectral synthesis in commutative Banach algebras, J. Funct. Anal. 254 (2008) 987–1002], we establish various results on...
Author:Eberhard Kaniuth
Data Source:[J].Journal of Functional Analysis(IF 1.252), 2007, Vol.254 (4), pp.987-1002Elsevier
Abstract:Abstract(#br)Let A be a semisimple and regular commutative Banach algebra with structure space Δ ( A ) . Generalizing the notion of spectral sets in Δ ( A ) , the considerably larger class of weak spectral sets was introduced and studied in [C.R. Warner, Weak spectral synthe...

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