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These notes present a theorem on infinite matrices with values in a topological group due to P. Antosik and J. Mikusinski. Using the matrix theorem and classical gliding hump techniques, a number of applications to various topics in functional analysis, measure theory and sequence spaces are given. There are a number of generalizations of the classical Uniform Boundedness Principle given; in particular, using stronger notions of sequential convergence and boundedness due to Antosik and Mikusinki, versions of the Uniform Boundedness Principle and the Banach-Steinhaus Theorem are given which, in contrast to the usual versions, require no completeness or barrelledness assumptions on the domain space. Versions of Nikoym Boundedness and Convergence Theorems of measure theory, the Orlicz-Pettis Theorem on subseries convergence, generalizations of the Schur Lemma on the equivalence of weak and norm convergence in 1i and the Mazur-Orlicz Theorem on the continuity of separately continuous bilinear mappings are also given. Finally, the matrix theorems are also employed to treat a number of topics in sequence spaces.

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This book is a collection of a series of lectures given by Prof. V Kac at Tata Institute, India in Dec '85 and Jan '86. These lectures focus on the idea of a highest weight representation, which goes through four different incarnations. The first is the c...

This self-contained introduction to the behavior of several spectral characteristics of large Toeplitz band matrices is the first systematic presentation of a relatively large body of knowledge. Covering everything from classic results to the most recent ...

This self-contained introduction to the behavior of several spectral characteristics of large Toeplitz band matrices is the first systematic presentation of a relatively large body of knowledge. Covering everything from classic results to the most recent ...

"Operator Functions and Localization of Spectra" is the first book that presents a systematic exposition of bounds for the spectra of various linear nonself-adjoint operators in a Hilbert space, having discrete and continuous spectra. In particular bounds...

September 2011, volume 213, number 1003 (fourth of 5 numbers)....

This book is an attempt to give a systematic presentation of results and methods (established mostly in the last ten years) which concern the topology of infinite-dimensional spaces appearing in functional analysis and admitting a local linear structure. ...

This volume expands on a set of lectures held at the Courant Institute on Riemann-Hilbert problems, orthogonal polynomials, and random matrix theory. The goal of the course was to prove universality for a variety of statistical quantities arising in the t...

This book presents a careful treatment of the principle topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states ...

Every year an estimated three million newborn babies die during the first week of life due to problems such as sepsis, tetanus, or asphyxia, or problems associated with trauma, low birth weight, or preterm birth. This guide is written for the doctors, nur...

A rare blend of a well-organized, comprehensive guide to portfolio management and a deep, cutting-edge treatment of the key topics by distinguished authors who have all practiced what they preach. The subtitle, A Dynamic Process , points to the fresh, mo...

This slim motivation guidebook was written to bridge the gap between the academic research on motivation and to present it in a form that is useful to the practicing manager. In essence, the book presents a theory of motivation and how to use it without e...

This book presents a socio-technical view of strategic information systems issues such as enterprise systems implementation and management, knowledge management, customer relationship management, and e-government initiatives. It contains eight case studie...

No doubt about it, this is an old-school college text book with hard cover and durable binding. This book is no light read and is focused on the design and management of relational database tables using uni-temporal and bi-temporal data primarily in a bu...

This guide is intended for anyone becoming increasingly buried under an avalanche of information received from printouts, memos. e-mails, reports and faxes. It outlines a personal action plan to reduce information overload, and provides advice on getting ...

This book is about complexity in Information Systems (IS). The subject is addressed from both conceptual and applied perspectives. Concepts are drawn from information theory, industrial design and software engineering. Its content capitalizes on experienc...

A GUIDE TO EFFECTIVE PROJECT MANAGEMENT IN TECHNOLOGY-BASED FIRMS: Used effectively, project management can increase a firm's market share, product quality, and customer satisfaction. Though technology-based companies place themselves at a competitive dis...