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Additivity of multiplicative Jordan semi-derivations on rings and standard operator algebras
In this paper we study the additivity of multiplicative Jordan semi-derivations on rings and standard operator algebras.
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Automorphism groups of cyclic orbifold vertex operator algebras associated with the Leech lattice and some non-prime isometries
We determine the automorphism groups of the cyclic orbifold vertex operator algebras associated with coinvariant lattices for isometries of the Leech...
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Rokhlin-Type Properties of Group Actions on Operator Algebras
We give a survey of Rokhlin-type properties of group actions on operator algebras. Though we briefly review the classification of group actions on...
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p-adic vertex operator algebras
We postulate axioms for a chiral half of a nonarchimedean 2-dimensional bosonic conformal field theory, that is, a vertex operator algebra in which a p ...
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Five Hilbert Space Problems in Operator Algebras
A number of questions which have been solved over the years in the theory of single operators acting on Hilbert space have interesting analogues when...
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A general mirror equivalence theorem for coset vertex operator algebras
We prove a general mirror duality theorem for a subalgebra U of a simple conformal vertex algebra A and its commutant V = Com A ( U ). Specifically, we...
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Five Hilbert Space Problems in Operator Algebras
A number of questions which have been solved over the years in the theory of single operators acting on Hilbert space have interesting analogues when...
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Banach algebras
In this chapter, we shall introduce Banach algebras and recall their basic properties. General Banach algebras are considered in...
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Banach Algebras
This chapter is an introduction to Banach algebras as an axiomatic approach to the spaces of continuous linear operators on Banach spaces. Their...
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Real Operator Algebras and Real Positive Maps
We present some foundations for a theory of real operator algebras and real Jordan operator algebras, and the various morphisms between these. A...
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Local and 2-local Lie-type Derivations of Operator Algebras on Banach Spaces
Let X be a Banach space over the field \(\mathbb {F}\) (...
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On Representations of Groups and Algebras in Spaces with Indefinite Metric
The paper contains a survey of known results on the structure of J -symmetric operator algebras in Pontryagin and Krein spaces, as well as on...
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Banach function algebras
In this chapter, we shall concentrate on commutative Banach algebras, especially on commutative, semisimple Banach algebras, identified with Banach...