Search results for "Clos"

Identities of PI-Algebras Graded by a Finite Abelian Group

2011

We consider associative PI-algebras over an algebraically closed field of zero characteristic graded by a finite abelian group G. It is proved that in this case the ideal of graded identities of a G-graded finitely generated PI-algebra coincides with the ideal of graded identities of some finite dimensional G-graded algebra. This implies that the ideal of G-graded identities of any (not necessary finitely generated) G-graded PI-algebra coincides with the ideal of G-graded identities of the Grassmann envelope of a finite dimensional (G × ℤ2)-graded algebra, and is finitely generated as GT-ideal. Similar results take place for ideals of identities with automorphisms.

A theorem of insertion and extension of functions for normal spaces

1993

Multi-valued F-contractions and the solution of certain functional and integral equations

2013

Wardowski [Fixed Point Theory Appl., 2012:94] introduced a new concept of contraction and proved a fixed point theorem which generalizes Banach contraction principle. Following this direction of research, we will present some fixed point results for closed multi-valued F-contractions or multi-valued mappings which satisfy an F-contractive condition of Hardy-Rogers-type, in the setting of complete metric spaces or complete ordered metric spaces. An example and two applications, for the solution of certain functional and integral equations, are given to illustrate the usability of the obtained results.

The Bishop–Phelps–Bollobás theorem for operators

2008

AbstractWe prove the Bishop–Phelps–Bollobás theorem for operators from an arbitrary Banach space X into a Banach space Y whenever the range space has property β of Lindenstrauss. We also characterize those Banach spaces Y for which the Bishop–Phelps–Bollobás theorem holds for operators from ℓ1 into Y. Several examples of classes of such spaces are provided. For instance, the Bishop–Phelps–Bollobás theorem holds when the range space is finite-dimensional, an L1(μ)-space for a σ-finite measure μ, a C(K)-space for a compact Hausdorff space K, or a uniformly convex Banach space.

Identities of *-superalgebras and almost polynomial growth

2015

We study the growth of the codimensions of a *-superalgebra over a field of characteristic zero. We classify the ideals of identities of finite dimensional algebras whose corresponding codimensions are of almost polynomial growth. It turns out that these are the ideals of identities of two algebras with distinct involutions and gradings. Along the way, we also classify the finite dimensional simple *-superalgebras over an algebraically closed field of characteristic zero.

A note on the closed graph theorem

1977

WQ*-algebras of measurable operators

2012

Every C*-algebra \(\mathfrak{A}\) has a faithful *-representation π in a Hilbert space \(\mathcal{H}\). Consequently it is natural to pose the following question: under which conditions, the completion of a C*-algebra in a weaker than the given one topology, can be realized as a quasi *-algebra of operators? The present paper presents the possibility of extending the well known Gelfand — Naimark representation of C*-algebras to certain Banach C*-modules.

Counterexamples to the Algebraic Closed Graph Theorem

1982

Closeness and distance through the agentive authorial voice: construing credibility in promotional discourse.

2020

Credibility is a function associated with promotional genres and persuasion, and a powerful marketing concept (Eisend, 2006; Ming, 2006) which provides trustworthiness about the quality of products or services offered by hotels (Suau-Jiménez, 2012a, 2019). It is partly attained through the hotel‘s self-mentioning in websites. When this self-mentioning is agentive with action verbs, the main instantiation is the pronoun we, projecting closeness and assertiveness. However, this self-representation is also construed with depersonalized realizations like the hotel‘s proper name, other nominalizations or even pronouns like it and they, which provide attenuating aspects and create a sense of dist…

Closing and Reporting

2014

It often happens that closing and reporting do not deserve particular attention from the contractor or consultant Project Manager, however, they are important. This chapter analyzes diverse situations that imply risk specifically related to an owner being dissatisfied owing to a deficiency of documentation in quantity and quality handed over, or perhaps due to a lack of quality in finishing concrete work, or through failure to clean the site. The chapter analyzes these aspects, pointing out that closing-out a project is a process as important as the rest of the processes in the project’s life cycle, and examines the need to produce a good Technical Memory that must incorporate a string of i…