000 04530cam a2200529Ii 4500
001 9781003015116
003 FlBoTFG
005 20220711212433.0
006 m o d
007 cr cnu---unuuu
008 200318t20202020flua ob 001 0 eng d
040 _aOCoLC-P
_beng
_erda
_epn
_cOCoLC-P
020 _a9781003015116
_q(electronic bk.)
020 _a1003015115
_q(electronic bk.)
020 _a9781000045178
_q(electronic bk. : EPUB)
020 _a100004517X
_q(electronic bk. : EPUB)
020 _a9781000045154
_q(electronic bk. : PDF)
020 _a1000045153
_q(electronic bk. : PDF)
020 _z0367819171
020 _z9780367819170
035 _a(OCoLC)1145123654
035 _a(OCoLC-P)1145123654
050 0 0 _aQA322
072 7 _aMAT
_x037000
_2bisacsh
072 7 _aPBK
_2bicssc
082 0 4 _a515.73
_223
100 1 _aMursaleen, M.,
_eauthor.
_916529
245 1 0 _aSequence spaces :
_btopics in modern summability theory /
_cMohammad Mursaleen, Feyzi Basar.
264 1 _aBoca Raton, Florida :
_bCRC Press, Taylor & Francis Group,
_c[2020]
264 4 _c©2020
300 _a1 online resource :
_billustrations (black and white).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aMathematics and its applications : modelling, engineering, and social sciences
520 _aThis book is aimed at both experts and non-experts with an interest in getting acquainted with sequence spaces, matrix transformations and their applications. It consists of several new results which are part of the recent research on these topics. It provides different points of view in one volume, e.g. their topological properties, geometry and summability, fuzzy valued study and more. 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. This book is the main attraction for those who work in Sequence Spaces, Summability Theory and would also serve as a good source of reference for those involved with any topic of Real or Functional Analysis.
505 0 _aCover -- 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
505 8 _a2. 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
505 8 _a4. 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
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aSequence spaces.
_916050
650 7 _aMATHEMATICS / Functional Analysis
_2bisacsh
_912912
700 1 _aBaşar, Feyzi,
_eauthor.
_916530
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9781003015116
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
942 _cEBK
999 _c71278
_d71278