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Representations of the Anyon Commutation Relations
We discuss some representations of the anyon commutation relations (ACR) both in the discrete and continuous cases. These non-Fock representations...
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Spectral regularity of a C*-algebra generated by two-dimensional singular integral operators
Given a bounded simply connected domain \({U} \subset {\mathbb{C}}\)...
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Operator algebras associated with multiplicative convolutions of arithmetic functions
The action of ℕ on l 2 (ℕ) is studied in association with the multiplicative structure of ℕ. Then the maximal ideal space of the Banach algebra...
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Controlling Almost-Invariant Halfspaces in Both Real and Complex Settings
If T is a bounded linear operator acting on an infinite-dimensional Banach space X , we say that a closed subspace Y of X of both infinite dimension...
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Reduced Crossed Products Associated with Banach Algebra Dynamical Systems
We define reduced crossed products associated with a Banach algebra dynamical system. If the group is amenable, we prove that the reduced crossed...
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Projective spectrum and kernel bundle
For a tuple A = ( A 1 , A 2 , …, A n ) of elements in a unital algebra B over ℂ, its projective spectrum P ( A ) or p ( A ) is the collection of z ∈ ℂ ...
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Roots in Operator and Banach Algebras
We show that several known facts concerning roots of matrices generalize to operator algebras and Banach algebras. We show for example that the...
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On Semi-Fredholm Band-Dominated Operators
In this paper we study the semi-Fredholm property of band-dominated operators A and prove that it already implies the Fredholmness of A in all cases...
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Maps preserving peripheral spectrum of generalized Jordan products of operators
Let X 1 and X 2 be complex Banach spaces with dimension at least three, A 1 and A 2 be standard operator algebras on X 1 and X 2 , respectively. For k ...
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Non-Archimedean Group Algebras with Baer Reductions
Within the concept of a non-Archimedean operator algebra with the Baer reduction (Kochubei, On some classes of non-Archimedean operator algebras,...
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Bilocal *-automorphisms of B(H)
In this note we show that the bilocal *-automorphisms of the C *-algebra B ( H ) of all bounded linear operators acting on a complex infinite dimensional...
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Local and global liftings of analytic families of idempotents in Banach algebras
Generalizing results of our earlier paper, we investigate the following question. Let π(λ): A → B be an analytic family of surjective homomorphisms...
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Semisimplicity of reflexive amenable operator algebras
We prove that amenable and reflexive operator algebras are semisimple and are finite direct sums of simple Banach algebras of operators.