Double multipliers on topological algebras.
Ein „merkwürdiges” Spektrum für nichtlineare Operatoren
We define a spectrum for Lipschitz continuous nonlinear operators in Banach spaces by means of a certain kind of "pseudo-adjoint" and study some of its properties.
Ergodic Theorem for Convex Sets and Operator Algebras.
Extensions of derivations II.
Fourier-like methods for equations with separable variables
It is well known that a power of a right invertible operator is again right invertible, as well as a polynomial in a right invertible operator under appropriate assumptions. However, a linear combination of right invertible operators (in particular, their sum and/or difference) in general is not right invertible. It will be shown how to solve equations with linear combinations of right invertible operators in commutative algebras using properties of logarithmic and antilogarithmic mappings. The...
Fredholm Theories of Mixed Type with Analytic Index Functions.
Fredholm Theory Relative to a Banach Algebra Homomorphism.
Gabor Time-Frequency Lattices and the Wexler-Raz Identity.
Green's formula for right invertible operators
Hemi-Multiplicative Operators and Related Operators in Finite-Dimensional Algebras
Homotopy classes of elliptic transmission problems over -algebras.
Identity of Taylor's joint spectrum and Dash's joint spectrum
Isometries and automorphisms of the spaces of spinors.
The relationships between the JB*-triple structure of a complex spin factor S and the structure of the Hilbert space H associated to S are discussed. Every surjective linear isometry L of S can be uniquely represented in the form L(x) = mu.U(x) for some conjugation commuting unitary operator U on H and some mu belonging to C, |mu|=1. Automorphisms of S are characterized as those linear maps (continuity not assumed) that preserve minimal tripotents in S and the orthogonality relations among them.
J-subspace lattices and subspace M-bases
The class of J-lattices was defined in the second author’s thesis. A subspace lattice on a Banach space X which is also a J-lattice is called a J- subspace lattice, abbreviated JSL. Every atomic Boolean subspace lattice, abbreviated ABSL, is a JSL. Any commutative JSL on Hilbert space, as well as any JSL on finite-dimensional space, is an ABSL. For any JSL ℒ both LatAlg ℒ and (on reflexive space) are JSL’s. Those families of subspaces which arise as the set of atoms of some JSL on X are characterised...
Limacons, normal operators and polar factorizations.
Logarithmic and antilogarithmic mappings [Book]
Moyennes de fonctions et opérateurs multiplicativement liés
Multiplicity theory
Multipliers and local spectral theory
Non-Leibniz algebras