Search Results - "ÜLGER, ALI"
-
1
A Unified Approach to the Arens Regularity and Related Problems for a Class of Banach Algebras Associated with Locally Compact Groups
Published in Quarterly journal of mathematics (09-12-2021)“…Abstract Based on Katznelson–Tzafriri Theorem on power bounded operators, we prove in this paper a theorem, which applies to the most of the classical Banach…”
Get full text
Journal Article -
2
Weak spectral synthesis in commutative Banach algebras. III
Published in Journal of functional analysis (15-04-2015)“…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…”
Get full text
Journal Article -
3
Helson Sets of Synthesis Are Ditkin Sets
Published in Proceedings of the American Mathematical Society (01-05-2018)“…Let G be a locally compact group and let A(G) be its Fourier algebra. A closed subset H of G is said to be a Helson set if the restriction homomorphism \phi…”
Get full text
Journal Article -
4
On a theorem of Reiter and spectral synthesis
Published in Monatshefte für Mathematik (01-12-2016)“…Motivated by and extending a theorem of Reiter on sets of synthesis in R N , we establish a general result for Fourier algebras of locally compact groups, even…”
Get full text
Journal Article -
5
The Bochner-Schoenberg-Eberlein property for commutative Banach algebras, especially Fourier and Fourier-Stieltjes algebras
Published in Transactions of the American Mathematical Society (01-08-2010)“…The classical Bochner-Schoenberg-Eberlein theorem characterizes the continuous functions on the dual group of a locally compact abelian group G which arise as…”
Get full text
Journal Article -
6
Characterization of closed ideals with bounded approximate identities in commutative Banach algebras, complemented subspaces of the group von Neumann algebras and applications
Published in Transactions of the American Mathematical Society (01-08-2014)“… This paper contains several applications of these results.]]>…”
Get full text
Journal Article -
7
Strong Ditkin sets in the spectrum of a commutative Banach algebra and the Fourier algebra
Published in Archiv der Mathematik (01-07-2015)“…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…”
Get full text
Journal Article -
8
The structure of power bounded elements in Fourier–Stieltjes algebras of locally compact groups
Published in Bulletin des sciences mathématiques (01-01-2013)“…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 supn∈N‖un‖<∞. We present a…”
Get full text
Journal Article -
9
A Fredholm alternative-like result on power bounded operators
Published in Turkish journal of mathematics (01-01-2011)“…Let X be a complex Banach space and T:X\rightarrow X be a power bounded operator, i.e., \supn \geq 0\|Tn\|…”
Get full text
Journal Article -
10
A NOTE ON THE KADISON–SINGER PROBLEM
Published in Journal of operator theory (01-03-2010)“…Let H be a separable Hilbert space with a fixed orthonormal basis (en)n≥1 and B(H) be the full von Neumann algebra of the bounded linear operators T : H → H…”
Get full text
Journal Article -
11
Topological centers of certain dual algebras
Published in Transactions of the American Mathematical Society (01-03-1996)“…Let A be a Banach algebra with a bounded approximate identity. Let Z_1 and \widetilde Z_2 be, respectively, the topological centers of the algebras A^{**} and…”
Get full text
Journal Article -
12
-
13
The Phillips properties
Published in Proceedings of the American Mathematical Society (01-07-2000)“…A Banach space X has the Phillips property if the canonical projection p\colon X^{\ast \ast \ast } \rightarrow X^{\ast } is sequentially weak^{\ast }-norm…”
Get full text
Journal Article -
14
Fixed point property and normal structure for Banach spaces associated to locally compact groups
Published in Proceedings of the American Mathematical Society (01-07-1997)“…In this paper we investigate when various Banach spaces associated to a locally compact group G have the fixed point property for nonexpansive mappings or…”
Get full text
Journal Article -
15
-
16
SUBSPACES AND SUBALGEBRAS OF K(H) WHOSE DUALS HAVE THE SCHUR PROPERTY
Published in Journal of operator theory (01-04-1997)“…Let K(H) be the algebra of the compact operators on a Hilbert space H. Recently, S.W. Brown has shown that the dual A* of a commutative closed subalgebra of…”
Get full text
Journal Article -
17
Some Geometric Properties on the Fourier and Fourier Stieltjes Algebras of Locally Compact Groups, Arens Regularity and Related Problems
Published in Transactions of the American Mathematical Society (1993)“…Let G be a locally compact topological group and A(G) [B(G)] be, respectively, the Fourier and Fourier-Stieltjes algebras of G. It is one of the purposes of…”
Get full text
Journal Article -
18
The Second Dual of the Group Algebra of a Compact Group
Published in Journal of the London Mathematical Society (01-02-1987)Get full text
Journal Article -
19
-
20
A Note On The Kadison-Singer Problem
Published 17-08-2007“…Let H be a separable Hilbert space with a fixed orthonormal basis (e_n), n>=1, and B(H) be the full von Neumann algebra of the bounded linear operators T: H ->…”
Get full text
Journal Article