On real Cartan factors.
On Real Forms of JB*-triples.
On regularities and Fredholm theory
We investigate the relationship between the regularities and the Fredholm theory in a Banach algebra.
On relative amenability for von Neumann algebras
On Representations in Banach Spaces.
On Riesz and Inessential Operators.
On some functions that map each generator of a -semigroup into the generator of a holomorphic semigroup.
On some inequalities in normed algebras.
On Some Properties of Segal Algebras and Their Multipliers.
On some von Neumann topological algebras.
On spectral continuity of positive elements
Let x be a positive element of an ordered Banach algebra. We prove a relationship between the spectra of x and of certain positive elements y for which either xy ≤ yx or yx ≤ xy. Furthermore, we show that the spectral radius is continuous at x, considered as an element of the set of all positive elements y ≥ x such that either xy ≤ yx or yx ≤ xy. We also show that the property ϱ(x + y) ≤ ϱ(x) + ϱ(y) of the spectral radius ϱ can be obtained for positive elements y which satisfy at least one of the...
On spectral homomorphisms and continuous functions of Banach algebra elements
On splitting of extensions of rings and topological rings.
On strongly closed subalgebras of B(X)
On Tensor Products of Banach Lattices.
On the abstract theorem of Picard.
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 Arens products and reflexive Banach algebras.
On the Barrelledness of a topological Algebra Relative to its Spectrum
On the Beurling algebras -derivations and extensions.