Partial Isometries: a Survey
نویسندگان
چکیده
We survey the main results characterizing partial isometries in C∗algebras and tripotents in JB∗-triples obtained in terms of regularity, conorm, quadratic-conorm, and the geometric structure of the underlying Banach spaces.
منابع مشابه
Substitutions, Partial Isometries of IR, and Actions on Trees
In this paper we outline a connection between substitution dynamical systems and systems of partial isometries of IR. Let τ be a primitive substitution and (X,T ) the associated minimal subshift. Associated to each real geometric realization G of τ is a system of partial isometries IG . The subshift (X,T ) generated by τ provides a symbolic coding of the dynamics of IG . This allows us to deduc...
متن کاملSubstitutions, Partial Isometries of R, and Actions on Trees
In this paper we outline a connection between substitution dynamical systems and systems of partial isometries of R. Let τ be a primitive substitution and (X, T ) the associated minimal subshift. Associated to each real geometric realization G of τ is a system of partial isometries IG . The subshift (X, T ) generated by τ provides a symbolic coding of the dynamics of IG . This allows us to dedu...
متن کاملD ec 1 99 7 PARTIAL DYNAMICAL SYSTEMS AND C ∗ - ALGEBRAS GENERATED BY PARTIAL ISOMETRIES
A collection of partial isometries whose range and initial projections satisfy a specified set of conditions often gives rise to a partial representation of a group. The Calgebra generated by the partial isometries is thus a quotient of the universal C-algebra for partial representations of the group, from which it inherits a crossed product structure, of an abelian C-algebra by a partial actio...
متن کاملul 2 00 5 Crossed product of a C ∗ - algebra by a semigroup of endomorphisms generated by partial isometries
The paper presents a construction of the crossed product of a C *-algebra by a semigroup of endomorphisms generated by partial isometries.
متن کاملPartial Orders on Partial Isometries
This paper studies three natural pre-orders of increasing generality on the set of all completely non-unitary partial isometries with equal defect indices. We show that the problem of determining when one partial isometry is less than another with respect to these pre-orders is equivalent to the existence of a bounded (or isometric) multiplier between two natural reproducing kernel Hilbert spac...
متن کامل