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Titlebook: Algebraic Methods in Functional Analysis; The Victor Shulman A Ivan G. Todorov,Lyudmila Turowska Conference proceedings 2014 Springer Basel

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https://doi.org/10.1007/3-540-10852-1e discrete Heisenberg semigroup gives rise to a reflexive operator algebra, which is semisimple. An example of a representation giving rise to a nonreflexive algebra is presented..Report on joint work with M. Anoussis (Aegean) and I.G. Todorov (Belfast) [2].
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Steady-state nonlinear wave field, discusses a systematic approach by P. Ara and the author to produce such examples on the one hand; on the other hand, we present new criteria guaranteeing that the second and the first local multiplier algebra of a separable .*-algebra agree. For this class of .*-algebras, each derivation of the local multiplier algebra is inner.
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More comments on mathematical techniques,assical notion of idempotent probability measure. We also consider the ‘intermediate’ case of idempotent states in the Fourier–Stieltjes algebra: this is the dual case of idempotent probability measures and so an instance of idempotent states on a locally compact quantum group.
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https://doi.org/10.1007/978-3-031-01889-3other applications we find some sufficient conditions of continuity of the spectrum and spectral radii of different types, and in particular prove that in a GCR C*-algebra the joint spectral radius is continuous on precompact sets and coincides with the Berger–Wang radius.
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Singly Generated Operator Algebras Satisfying Weakened Versions of Amenability,enable (and hence are not isomorphic to C.-algebras). Such an example can be used to show that a certain extension property for commutative operator algebras, which is shown in [3] to follow from amenability, does not necessarily imply amenability.
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The Second Local Multiplier Algebra of a Separable ,*-algebra, discusses a systematic approach by P. Ara and the author to produce such examples on the one hand; on the other hand, we present new criteria guaranteeing that the second and the first local multiplier algebra of a separable .*-algebra agree. For this class of .*-algebras, each derivation of the local multiplier algebra is inner.
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Idempotent States on Locally Compact Groups and Quantum Groups,assical notion of idempotent probability measure. We also consider the ‘intermediate’ case of idempotent states in the Fourier–Stieltjes algebra: this is the dual case of idempotent probability measures and so an instance of idempotent states on a locally compact quantum group.
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