Representations of hermitian kernels by means of Krein spaces II. Invariant kernels

In this paper we study hermitian kernels invariant under the action of a semigroup with involution. We characterize those hermitian kernels which realize the given action by bounded operators on a Krein space. Applications to the GNS representation of *-algebras associated to hermitian functionals are given. We explain the key role played by the Kolmogorov decomposition in the construction of Weyl exponentials associated to an indefinite inner product and in the dilation thoery of hermitian maps on C*-algebras.Comment: 31 page

Overview of the Side-Effects of FDA- and/or EMA-Approved Targeted Therapies for the Treatment of Hematological Malignancies.

To access publisher's full text version of this article, please click on the hyperlink in Additional Links field or click on the hyperlink at the top of the page marked DownloadIn the last decade there has been tremendous effort in offering better therapeutic management strategies to patients with hematologic malignancies. These efforts have ranged from biological to clinical approaches and resulted in the rapid development of new approaches. The main "problem" that comes with the high influx of newly approved drugs, which not only influences hematologists that frequently work with these drugs but also affects other healthcare professionals that work with hematologists in patient management, including intensive care unit (ICU) physicians, is they have to keep up within their specialty and, in addition, with the side-effects that can occur when encountering hematology-specific therapies. Nonetheless, there are few people that have an in-depth understanding of a specialty outside theirs. Thus, this manuscript offers an overview of the most common side-effects caused by therapies used in hematology nowadays, or that are currently being investigated in clinical trials, with the purpose to serve as an aid to other specialties. Nevertheless, because of the high amount of information on this subject, each chapter will offer an overview of the side-effects of a drug class with each reference of the section being intended as further reading. Keywords: hematological malignancies; life-threatening side-effects; novel therapies.MDPI A

The Labyrinth Behind an Acute Respiratory Failure

Introduction: Acute hypoxemic respiratory failure may have different causes. Case presentation: We present the case of a 42-year-old woman, with history of recent thyroidectomy and a late history of sleeve gastrectomy, who presented for acute dyspnoea. The chest X-ray revealed hydropneumothorax, and, therefore, an intercostals chest tube drainage was inserted. The evolution was unfavourable, with further respiratory status deterioration. A computed tomography of the thorax and abdomen was performed, that revealed a dilated thoracic oesophagus and stenosis of the esophagogastric junction, with lack of substance in the oesophageal wall and extravasation of oesophageal content in the posterior mediastinum, due to an oesophageal pleural fi stula. An oesophageal stent was inserted under endoscopic guidance and the patient underwent minim-invasive surgical interventions for evacuation of the mediastinal and pleural collections, with a favourable evolution. Conclusions: Acute respiratory failure can be the face of multiple conditions, some of these can be life threatening and in need for rapid detection and treatment

Continuous renal replacement therapy in cytokine release syndrome following immunotherapy or cellular therapies?

To access publisher's full text version of this article, please click on the hyperlink in Additional Links field or click on the hyperlink at the top of the page marked DownloadRecently, an increasing number of novel drugs were approved in oncology and hematology. Nevertheless, pharmacology progress comes with a variety of side effects, of which cytokine release syndrome (CRS) is a potential complication of some immunotherapies that can lead to multiorgan failure if not diagnosed and treated accordingly. CRS generally occurs with therapies that lead to highly activated T cells, like chimeric antigen receptor T cells or in the case of bispecific T-cell engaging antibodies. This, in turn, leads to a proinflammatory state with subsequent organ damage. To better manage CRS there is a need for specific therapies or to repurpose strategies that are already known to be useful in similar situations. Current management strategies for CRS are represented by anticytokine directed therapies and corticosteroids. Based on its pathophysiology and the resemblance of CRS to sepsis and septic shock, as well as based on the principles of initiation of continuous renal replacement therapy (CRRT) in sepsis, we propose the rationale of using CRRT therapy as an adjunct treatment in CRS where all the other approaches have failed in controlling the clinically significant manifestations.School of Doctoral Studies - Iuliu Hatieganu University Romanian Government Ion Chiricuta Oncology Institute Cluj Napoca Iuliu Hatieganu University of Medicine and Pharmacy Cluj Napoca European Economic Spac

Lattice structures for time-variant interpolation problems

The authors derive a recursive solution for a general time-variant interpolation problem of the Hermite-Fejer type, based on a fast algorithm for the recursive triangular factorization of time-variant structured matrices. The solution follows from studying the properties of an associated transmission-line. The line can be drawn as a cascade of first-order lattice sections, where each section is composed of a rotation matrix followed by a storage element and a tapped-delay filter. An application of the recursive algorithm to a so-called model validation (or Caratheodory-Fejer) problem is discussed

Inverse scattering experiments, structured matrix inequalities, and tensor algebra

This paper deals with a general matrix extension problem with structural constraints and provides a recursive solution in terms of an inverse scattering experiment. Both the stationary and nonstationary cases are considered, in addition to connections to tensor algebra