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Descriptive Topology and Functional Analysis II
This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel López-Pellicer's mathematical research. Covering topics in descriptive topology and functional analysis, including topological groups and Banach space theory, fuzzy topology, differentiability and renorming, tensor products of Banach spaces and aspects of Cp-theory, this volume is particularly useful to young researchers wanting to learn about the latest developments in these areas.
Topics in Complex Analysis and Operator Theory
This book contains the lecture notes as well as some invited papers presented at the Third Winter School in Complex Analysis, Operator Theory and Applications held February 2-5, 2010, in Valencia, Spain. The book is divided into two parts. The first is an extended self-contained version of the mini-courses taught at the School. The papers in this first part are: Notes on real analytic functions and classical operators, by Pawel Domanski; Shining a Hilbertian lamp on the bidisk, by John E. McCarthy; Selected problems in perturbation theory, by Vladimir V. Peller; and Composition operators on Hardy-Orlicz spaces, by Luis Rodriguez-Piazza. The second part consists of several research papers on ...
Renormings in Banach Spaces
This monograph presents an up-to-date panorama of the different techniques and results in the large field of renorming in Banach spaces and its applications. The reader will find a self-contained exposition of the basics on convexity and differentiability, the classical results in building equivalent norms with useful properties, and the evolution of the subject from its origin to the present days. Emphasis is done on the main ideas and their connections. The book covers several goals. First, a substantial part of it can be used as a text for graduate and other advanced courses in the geometry of Banach spaces, presenting results together with proofs, remarks and developments in a structured...
Operator and Norm Inequalities and Related Topics
Inequalities play a central role in mathematics with various applications in other disciplines. The main goal of this contributed volume is to present several important matrix, operator, and norm inequalities in a systematic and self-contained fashion. Some powerful methods are used to provide significant mathematical inequalities in functional analysis, operator theory and numerous fields in recent decades. Some chapters are devoted to giving a series of new characterizations of operator monotone functions and some others explore inequalities connected to log-majorization, relative operator entropy, and the Ando-Hiai inequality. Several chapters are focused on Birkhoff–James orthogonality...
Spanish-Americans/Lives and Faces
The history of the United States is made by many extraordinary individuals who gave significat contributions to this country. Many of them are of Hispanic origin and their achievements have not been exposed to the general public. Spanish-Americans highlights the deeds of many Hispanic figures who have made significant accomplishments in this land before it became independent and after its independence. Among them, the reader will find explorers, scholars, mossionaries, sailors, politicians, sciientist, artists, athletes, etc. Each biography gives hte background of each person, the main achievement and other important aspects of the individual's life. As one reads eack fascinating biography, one can glance at the picture of the person, giving the feeling of his (or her) presence. Spanish-Americans provides an additional one hundred profiles of other extraordinary individuals who merit being remembered for their achievements. Abundant historical sources and related bibliography are provided, accompanied by an alphbetical list of names.
Linguistic Corpora and Big Data in Spanish and Portuguese
In recent decades, corpus linguistics has experienced tremendous development in the Hispanic world, along two opposite but complementary approaches: increase in corpus size (corpus linguistics as Big Data) and improvement in document selection and data annotation (corpus linguistics as High Quality Data). The first approach has led to the creation of massive corpora such as EsTenTen; at the same time, it has promoted the use of the web and social networks as corpora. The second perspective gives rise to specialized corpora such as Post Scriptum or Oralia Diacrónica del español (ODE). The contributions gathered in this volume combine both methods in order to exploit their advantages and to overcome their possible limitations. On the one hand, it addresses the creation and design of small corpora focused on data quality; on the other hand, it offers case studies that make use of both specialized corpora and massive data extracted from the web. Highlighting the complementary nature of both methods is the main idea of this book.
Smooth Analysis in Banach Spaces
This book is about the subject of higher smoothness in separable real Banach spaces. It brings together several angles of view on polynomials, both in finite and infinite setting. Also a rather thorough and systematic view of the more recent results, and the authors work is given. The book revolves around two main broad questions: What is the best smoothness of a given Banach space, and its structural consequences? How large is a supply of smooth functions in the sense of approximating continuous functions in the uniform topology, i.e. how does the Stone-Weierstrass theorem generalize into infinite dimension where measure and compactness are not available? The subject of infinite dimensional real higher smoothness is treated here for the first time in full detail, therefore this book may also serve as a reference book.
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