*-algebras of unbounded operators affiliated with a von Neumann algebra.
Commuting normal operators in partial -algebras
Fredholm Theories of Mixed Type with Analytic Index Functions.
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.
Limacons, normal operators and polar factorizations.
Numerical radius inequalities for Hilbert -modules
We present a new method for studying the numerical radius of bounded operators on Hilbert -modules. Our method enables us to obtain some new results and generalize some known theorems for bounded operators on Hilbert spaces to bounded adjointable operators on Hilbert -module spaces.
Numerical range preserving operators on a Banach algebra
-Topologies on the Test Function Algebra
On generalized eigenfunctions of operators in a Hilbert space
The existence of angular derivatives of holomorphic maps of Siegel domains in a generalization of -algebras
The aim of this paper is to start a systematic investigation of the existence of angular limits and angular derivatives of holomorphic maps of infinite dimensional Siegel domains in -algebras. Since -algebras are natural generalizations of -algebras, -algebras, -algebras, ternary algebras and complex Hilbert spaces, various significant results follow. Examples are given.
The hypo-Euclidean norm of an -tuple of vectors in inner product spaces and applications.
Представления *-алгебр с двумя образующими и полиномиальными соотношениями