Topics in Banach Space Theory

Topics in Banach Space Theory PDF Author: Fernando Albiac
Publisher: Springer
ISBN: 3319315579
Category : Mathematics
Languages : en
Pages : 512

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Book Description
This text provides the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems. The two new chapters in this second edition are devoted to two topics of much current interest amongst functional analysts: Greedy approximation with respect to bases in Banach spaces and nonlinear geometry of Banach spaces. This new material is intended to present these two directions of research for their intrinsic importance within Banach space theory, and to motivate graduate students interested in learning more about them. This textbook assumes only a basic knowledge of functional analysis, giving the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues) and spaces of continuous functions. The authors also stress the use of bases and basic sequences techniques as a tool for understanding the isomorphic structure of Banach spaces. From the reviews of the First Edition: "The authors of the book...succeeded admirably in creating a very helpful text, which contains essential topics with optimal proofs, while being reader friendly... It is also written in a lively manner, and its involved mathematical proofs are elucidated and illustrated by motivations, explanations and occasional historical comments... I strongly recommend to every graduate student who wants to get acquainted with this exciting part of functional analysis the instructive and pleasant reading of this book..."—Gilles Godefroy, Mathematical Reviews

Topics in Banach Space Theory

Topics in Banach Space Theory PDF Author: Fernando Albiac
Publisher: Springer
ISBN: 3319315579
Category : Mathematics
Languages : en
Pages : 512

Get Book Here

Book Description
This text provides the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems. The two new chapters in this second edition are devoted to two topics of much current interest amongst functional analysts: Greedy approximation with respect to bases in Banach spaces and nonlinear geometry of Banach spaces. This new material is intended to present these two directions of research for their intrinsic importance within Banach space theory, and to motivate graduate students interested in learning more about them. This textbook assumes only a basic knowledge of functional analysis, giving the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues) and spaces of continuous functions. The authors also stress the use of bases and basic sequences techniques as a tool for understanding the isomorphic structure of Banach spaces. From the reviews of the First Edition: "The authors of the book...succeeded admirably in creating a very helpful text, which contains essential topics with optimal proofs, while being reader friendly... It is also written in a lively manner, and its involved mathematical proofs are elucidated and illustrated by motivations, explanations and occasional historical comments... I strongly recommend to every graduate student who wants to get acquainted with this exciting part of functional analysis the instructive and pleasant reading of this book..."—Gilles Godefroy, Mathematical Reviews

Isometries in Banach Spaces

Isometries in Banach Spaces PDF Author: Richard J. Fleming
Publisher: CRC Press
ISBN: 1420010204
Category : Mathematics
Languages : en
Pages : 245

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Book Description
A continuation of the authors' previous book, Isometries on Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two covers much of the work that has been done on characterizing isometries on various Banach spaces. Picking up where the first volume left off, the book begins with a chapter on the Banach-Stone property.

Nuclear Science Abstracts

Nuclear Science Abstracts PDF Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 1472

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Book Description


Cosmic Plasmas and Electromagnetic Phenomena

Cosmic Plasmas and Electromagnetic Phenomena PDF Author: Athina Meli
Publisher: MDPI
ISBN: 3039214659
Category : Science
Languages : en
Pages : 264

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Book Description
During the past few decades, plasma science has witnessed a great growth in laboratory studies, in simulations, and in space. Plasma is the most common phase of ordinary matter in the universe. It is a state in which ionized matter (even as low as 1%) becomes highly electrically conductive. As such, long-range electric and magnetic fields dominate its behavior. Cosmic plasmas are mostly associated with stars, supernovae, pulsars and neutron stars, quasars and active galaxies at the vicinities of black holes (i.e., their jets and accretion disks). Cosmic plasma phenomena can be studied with different methods, such as laboratory experiments, astrophysical observations, and theoretical/computational approaches (i.e., MHD, particle-in-cell simulations, etc.). They exhibit a multitude of complex magnetohydrodynamic behaviors, acceleration, radiation, turbulence, and various instability phenomena. This Special Issue addresses the growing need of the plasma science principles in astrophysics and presents our current understanding of the physics of astrophysical plasmas, their electromagnetic behaviors and properties (e.g., shocks, waves, turbulence, instabilities, collimation, acceleration and radiation), both microscopically and macroscopically. This Special Issue provides a series of state-of-the-art reviews from international experts in the field of cosmic plasmas and electromagnetic phenomena using theoretical approaches, astrophysical observations, laboratory experiments, and state-of-the-art simulation studies.

International Trends in Applied Optics

International Trends in Applied Optics PDF Author: Arthur Henry Guenther
Publisher: SPIE Press
ISBN: 9780819445100
Category : Science
Languages : en
Pages : 740

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Book Description
This is the fifth in a series initiated in 1989 by the International Commission for Optics (ICO). These books, which are published every three years, highlight the advances in optics that are underway at the time of their publication. These are a collection of significant contributions from leading scientists and engineers throughout the world. It shows the diverse role optics play in modern society, with optics now taking its place along with mechanical, thermal, electrical and electronic options, in order to bring solutions. The world is coming to recognize the ubiquitous nature of optics and its primarily enabling role in our everyday world.

Application of Optical Instrumentation in Medicine

Application of Optical Instrumentation in Medicine PDF Author:
Publisher:
ISBN:
Category : Imaging systems in medicine
Languages : en
Pages : 418

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Book Description


Transport Methods and Interactions for Space Radiations

Transport Methods and Interactions for Space Radiations PDF Author:
Publisher:
ISBN:
Category : Extraterrestrial radiation
Languages : en
Pages : 624

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Book Description


Nuclear Science Abstracts

Nuclear Science Abstracts PDF Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 628

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Book Description


Literature 1974, Part 2

Literature 1974, Part 2 PDF Author: S. Böhme
Publisher: Springer Science & Business Media
ISBN: 3662122952
Category : Science
Languages : en
Pages : 710

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Book Description
Astronomy and Astrophysics Abstracts, which has appeared in semi-annual volumes since 1969, is de voted to the recording, summarizing and indexing of astronomical publications throughout the world. It is prepared under the auspices of the International Astronomical Union (according to aresolution adopted at the 14th General Assembly in 1970). Astronomy and Astrophysics Abstracts airns to present a comprehensive documentation of literature in all fields of astronomy and astrophysics. Every effort will be made to ensure that the average time interval between the date of receipt of the original literature and publication of the abstracts will not exceed eight months. This time interval is near to that achieved by monthly abstracting journals, com pared to which our system of accumulating abstracts for about six months offers the advantage of greater convenience for the user. Volume 12 contains literature published in 1974 and received before March 15, 1975; some older literature which was received late and which is not recorded in earlier volumes is also inc1uded. Begin ning with volume 11 some minor changes of our c1assification scheme have been made. We acknowledge with thanks contributions to this volume by Dr. J. Bouska, who surveyed journals and publications in the Czech language and supplied us with abstracts in English, and by the Common wealth Scientific and Industrial Research Organization (C.S.I.R.O.), Sydney, for providing titles and abstracts of papers on radio astronomy.

Engineering Journal

Engineering Journal PDF Author:
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 696

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Book Description
Vol. 7, no.7, July 1924, contains papers prepared by Canadian engineers for the first World power conference, July, 1924.