| Description |
1 online resource |
| Series |
Mathematics and its applications : modelling, engineering, and social sciences |
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Mathematics and its applications : modelling, engineering, and social sciences.
|
| Contents |
Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Contents -- Foreword -- Preface -- Acknowledgements -- Authors -- List of Abbreviations and Symbols -- 1. Basic Functional Analysis -- 1.1 Metric Spaces -- 1.2 Metric Sequence Spaces -- 1.3 Normed Linear Spaces -- 1.4 Bounded Linear Operators -- 1.5 Köthe-Toeplitz Duals -- 1.6 Basic Theorems -- 1.7 Compact Operators -- 1.8 Schauder Basis and Separability -- 1.9 Reflexivity -- 1.10 Weak Convergence -- 1.11 Hilbert Spaces -- 1.12 Topological Vector Spaces -- 1.13 Linear Metric Spaces -- 1.14 FK-Spaces |
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2. Geometric Properties of Some Sequence Spaces -- 2.1 Introduction -- 2.2 Geometric Properties -- 2.3 Orlicz Sequence Spaces -- 2.4 Cesàro Sequence Spaces -- 2.5 Sequence Spaces Related to lp Spaces -- 2.6 Sequence Spaces lp(u, v) and l (u, v, p) -- 3. Infinite Matrices -- 3.1 Introduction -- 3.2 Matrix Transformations Between Some FK-Spaces -- 3.3 Conservative Matrices -- 3.4 Schur Matrices -- 3.5 Examples of Regular Matrices -- 3.5.1 Cesàro Matrix -- 3.5.2 Euler Matrix -- 3.5.3 Riesz Matrix -- 3.5.4 Nörlund Matrix -- 3.5.5 Borel Matrix -- 3.5.6 Abel Matrix |
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4. Almost Convergence and Classes of Related Matrix Transformations -- 4.1 Introduction -- 4.2 Almost Convergence -- 4.3 Almost Conservative and Almost Regular Matrices -- 4.4 Almost Coercive Matrices -- 4.5 Strongly Regular Matrices -- 4.6 Applications to Approximation -- 5. Spectrum of Some Triangle Matrices on Some Sequence Spaces -- 5.1 Preliminaries, Background and Notations -- 5.2 Subdivisions of Spectrum -- 5.2.1 The Point Spectrum, Continuous Spectrum and Residual Spectrum -- 5.2.2 The Approximate Point Spectrum, Defect Spectrum and Compression Spectrum |
| Summary |
"This book presents the important role sequences and series play in everyday life, it covers geometry of Banach Sequence Spaces, it discusses the importance of generalized limit, it offers spectrum and fine spectrum of several linear operators and includes fuzzy valued sequences which exhibits the study of sequence spaces in fuzzy settings"-- Provided by publisher |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record and CIP data provided by publisher |
| Subject |
Banach spaces -- Social aspects
|
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MATHEMATICS -- Functional Analysis.
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Sequence spaces
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| Form |
Electronic book
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| Author |
Başar, Feyzi, author
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| LC no. |
2019052941 |
| ISBN |
9781003015116 |
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1003015115 |
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9781000045154 |
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1000045153 |
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9781000045178 |
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100004517X |
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