On functional representation of locally -pseudoconvex algebras.
On generalized eigenfunctions of operators in a Hilbert space
On generalized right modular complemented algebras
On ideals and quotients of Hermitian algebras
On Jordan algebras of Baire type.
On Jordan *-derivations and an application
On Making Involutive vector spaces into Topological *-Algebras
On representations of partial *-algebras based on -weights.
On the algebra of smooth operators
Let s be the space of rapidly decreasing sequences. We give the spectral representation of normal elements in the Fréchet algebra L(s',s) of so-called smooth operators. We also characterize closed commutative *-subalgebras of L(s',s) and establish a Hölder continuous functional calculus in this algebra. The key tool is the property (DN) of s.
On the behaviour of Jordan-algebra norms on associative algebras
We prove that for a suitable associative (real or complex) algebra which has many nice algebraic properties, such as being simple and having minimal idempotents, a norm can be given such that the mapping (a,b) ↦ ab + ba is jointly continuous while (a,b) ↦ ab is only separately continuous. We also prove that such a pathology cannot arise for associative simple algebras with a unit. Similar results are obtained for the so-called "norm extension problem", and the relationship between these results...
On the equivalence of Hermitian inner products on topological *-algebras.
On the existence of configurations of subspaces in a Hilbert space with fixed angles.
On the fundamental inequality in locally multiplicatively convex algebras
On the Jordan model operators
On the radical in Hermitian LMC algebras
On the spectral properties of elements of the type exp(ih) in Hermitian Banach algebras
On the spectral radius in locally multiplicatively convex topological algebras
On the structure of Jordan *-derivations
On the uniform boundedness of elements of the type in Hermitian lmc-algebras
On the uniqueness of uniform norms and C*-norms
We prove that a semisimple, commutative Banach algebra has either exactly one uniform norm or infinitely many uniform norms; this answers a question asked by S. J. Bhatt and H. V. Dedania [Studia Math. 160 (2004)]. A similar result is proved for C*-norms on *-semisimple, commutative Banach *-algebras. These properties are preserved if the identity is adjoined. We also show that a commutative Beurling *-algebra L¹(G,ω) has exactly one uniform norm if and only if it has exactly one C*-norm; this is...