Fixed Points of Closed and Compact Composite Sequences of Operators and Projectors in a Class of Banach Spaces

Some results on fixed points related to the contractive compositions of bounded operators in a class of complete metric spaces which can be also considered as Banach's spaces are discussed through the paper. The class of composite operators under study can include, in particular, sequences of projection operators under, in general, oblique projective operators. In this paper we are concerned with composite operators which include sequences of pairs of contractive operators involving, in general, oblique projection operators. The results are generalized to sequences of, in general, nonconstant bounded closed operators which can have bounded, closed, and compact limit operators, such that the relevant composite sequences are also compact operators. It is proven that in both cases, Banach contraction principle guarantees the existence of unique fixed points under contractive conditions.

On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations

This paper investigates a class of self-adjoint compact operators in Hilbert spaces related to their truncated versions with finite-dimensional ranges. The comparisons are established in terms of worst-case norm errors of the composite operators generated from iterated computations. Some boundedness properties of the worst-case norms of the errors in their respective fixed points in which they exist are also given. The iterated sequences are expanded in separable Hilbert spaces through the use of numerable orthonormal bases.

Gizarte erantzukizun eta garapen jasangarriaren inguruko ekimenak: Global Compact

[EU]Gradu Amaierako lan honetan, enpresen gizarte erantzukizunak azkenaldian hartu duen garrantzia kontuan hartuta, kontzeptu hau jorratuko da eta eremu honetan burututako ekimen ezberdinen artean bat aukeratuko da, honen garapena eta inplementazioa aztertzeko. Hain zuzen ere, lan honetan erabiliko den ekimena, Munduko Hitzarmena edo Global Compact-a izango da. Hau, nazioarte mailako ekimen bat izanik, 10 printzipio proposatzen ditu, lau eremu ezberdinetan banatuz: Giza eskubideak, lan-arauak, ingurumena eta ustelkeriaren kontrako borroka. Bukatzeko, Global Compact-a aplikatzen duten sektore ezberdinetako hiru enpresa aukeratuko dira eta bakoitza dimentsio bat aztertzeko erabilia izango da, soziala, ekonomikoa eta ingurumenekoa hurrenez hurren. Azkenik, lanean zehar aztertutakoa kontuan hartuta zein ondoriotara iritsi garen adieraziko da.

The Environmental, Social, Governance, and Financial Performance Effects on Companies that Adopt the United Nations Global Compact

This paper aims to investigate companies' environmental, social, governance (ESG), and financial implications of their commitment to the United Nations Global Compact (UNGC). The focus is placed on companies operating in the three countries with the highest number of UNGC participants: Spain, France, and Japan. The results clearly reveal that adoption of the UNGC often requires an organizational change that fosters stakeholder engagement, ultimately resulting in improvements in companies' ESG performance. Additionally, the results reveal that ESG performance has a significant impact on financial performance for companies that adopted the principles of the UNGC. These findings provide both non-financial and financial incentives to companies to commit to this voluntary corporate social responsibility (CSR) initiative, which will have important implications on companies' strategic management policies that aim to foster sustainable businesses and community development. Finally, the linkages between the UNGC-committed companies' ESG and financial performance may be influenced by geographical spread, mainly due to the appearance of differences in the institutional, societal, and cultural settings.

Structural Basis for Feed-Forward Transcriptional Regulation of Membrane Lipid Homeostasis in Staphylococcus aureus

11 p.