inverse of a linear operator

Several methods for solving systems of equilibrium problems in Hilbert spaces – and for find-ing best approximations thereof – are presented and their convergence properties are established. The proposed methods include proximal-like block-iterative algorithms for general systems, as well

Abstract A representation theorem for infinite-dimensional, linear control systems is proved in the context of strongly continuous semigroups in Hilbert spaces. The result allows for unbounded input and output operators and is used to derive necessary and sufficient conditions for the realizability

Abstract. We characterise imaginaries (up to interdefinability) in Hilbert spaces using a Galois theory for compact unitary groups.

The basic mathematical framework for super Hilbert spaces over a Graßmann algebra with a Graßmann number-valued inner product is formulated. Super Hilbert spaces over infinitely generated Graßmann algebras arise in the functional Schrödinger representation of spinor quantum field theory in a

We consider extensions of Anosov diffeomorphisms on infranilmani-folds with Hilbert space fibers and disprove a conjecture regarding condi-tions equivalent to transitivity of such extensions. 1

ABSTRACT. Many inequalities involving real-valued convex functions can be found in the literature. Here we show how these inequalities lead to corresponding results for self-adjoint operators in Hilbert space.

We show that every complete metric space is homeomorphic to the locus of zeros of an entire analytic map from a complex Hilbert space to a complex Banach space. As a corollary, every separable complete metric space is homeomorphic to the locus of zeros of an entire analytic map between two complex

the interpretation of -terms/nets as operators on the Hilbert space. 1 Presentation -Calculus is simple but not completely convincing as a real machine-language. Real machine instructions have a fixed run-time; a fi-reduction step does not. Some implementations do map fi-reductions into sequences of real

Abstract. A broken tube is a special kind of a domain in an infinite-dimensional separable Hilbert space, and it has several properties which do not occur in a finitedimensional space. 1