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Perfectoid Spaces

Introduced by Peter Scholze in 2011, perfectoid spaces are a bridge between geometry in characteristic 0 and characteristic $p$, and have;

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Berkeley Lectures on p-adic Geometry

discovery of perfectoid spaces, Scholze introduced the concept of diamonds, which are to perfectoid spaces what algebraic spaces are to schemes. The;

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Berkeley Lectures on padic Geometry (AMS207)

discovery of perfectoid spaces, Scholze introduced the concept of diamonds, which are to perfectoid spaces what algebraic spaces are to schemes. The;

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Arithmetic and Geometry

analytic spaces; in others, one has to use Scholze's perfectoid spaces. The second course, taught by Umberto Zannier, addresses the famous Pell;

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Arithmetic and Geometry

analytic spaces; in others, one has to use Scholze's perfectoid spaces. The second course, taught by Umberto Zannier, addresses the famous Pell;

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Homotopy Theory

spectra associated to perfectoid fields, and the theory of higher homotopy operations.;

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Pre-Riesz Spaces

This monograph develops the theory of pre-Riesz spaces, which are the partially ordered vector spaces that embed order densely into Riesz;

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Function Spaces

This book is based on the conference on Function Spaces held at Southern Illinois University at Edwardsville, in April, 1990. It;

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Integral Operators in Non-Standard Function Spaces: Volume 1: Variable Exponent Lebesgue and Amalgam Spaces

This book, the result of the authors' long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces;

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Integral Operators in Non Standard Function Spaces

This book, the result of the authors' long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces;

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Cities and Spaces of Leadership

Cities and Spaces of Leadership investigates the interaction between leadership, leaders and spaces at various levels. It analyzes how;

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Galois Representations and Phi, Gamma-modules

of local number fields and local function fields in positive characteristic is established using the recent theory of perfectoid fields and the;

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Theory of Besov Spaces

This is a self-contained textbook of the theory of Besov spaces and Triebel-Lizorkin spaces oriented toward applications to partial;

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Banach Spaces of Continuous Functions as Dual Spaces

This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a;

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Functional Analysis

This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral;

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Analytic Function Spaces

The core of this book are Banach spaces of analytic functions on the unit disk. Not only do we study how operators like composition;

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Topology

Contents: Introduction. - Fundamental Concepts. - Topological Vector Spaces.- The Quotient Topology. - Completion of Metric Spaces;

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Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties

The aim of Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties is to discuss primarily about different kinds;

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Functional Analysis

This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral;

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Functional Analysis

This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral;

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Sobolev Spaces

Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding;

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Integration Theory

theory. Chapters discuss: function spaces and functionals, extension of Daniell spaces, measures of Hausdorff spaces, spaces of measures;

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Geometry and Martingales in Banach Spaces

Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the;

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