000 03594cam a2200553Ii 4500
001 9781003089360
003 FlBoTFG
005 20220711212447.0
006 m o d
007 cr cnu|||unuuu
008 200924s2020 flu eob 001 0 eng d
040 _aOCoLC-P
_beng
_erda
_epn
_cOCoLC-P
020 _a9781003089360
_q(electronic bk.)
020 _a1003089364
_q(electronic bk.)
020 _a9781000191493
_q(electronic bk. : EPUB)
020 _a1000191494
_q(electronic bk. : EPUB)
020 _a9781000191479
_q(electronic bk. : PDF)
020 _a1000191478
_q(electronic bk. : PDF)
020 _z9780367544492
020 _z9780367544508
020 _a9781000191486
_q(electronic bk. : Mobipocket)
020 _a1000191486
_q(electronic bk. : Mobipocket)
024 7 _a10.1201/9781003089360
_2doi
035 _a(OCoLC)1197637240
035 _a(OCoLC-P)1197637240
050 4 _aQA320
_b.N383 2020eb
072 7 _aMAT
_x037000
_2bisacsh
072 7 _aMAT
_x034000
_2bisacsh
072 7 _aPBK
_2bicssc
082 0 4 _a515.7
_223
100 1 _aNatarajan, P. N.,
_eauthor.
_916752
245 1 0 _aFunctional analysis and summability /
_cP.N. Natarajan.
264 1 _aBoca Raton :
_bCRC Press, Taylor & Francis Group,
_c[2020]
300 _a1 online resource (xx, 220 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _a"A Chapman & Hall book."
505 0 _a1. Some Basic Concepts in Functional Analysis. 2. Linear Transformations, Linear Functionals and Convexity. 3. Hahn-Banach Theorem. 4. Reβexivity. 5. Banach-Steinhaus Theorem. 6. Closed Graph Theorem and Open Mapping Theorem. 7. Hilbert Spaces. 8. Silverman-Toeplitz Theorem and Schur's Theorem. 9. Steinhaus Type Theorem.
520 _aThere are excellent books on both functional analysis and summability. Most of them are very terse. In Functional Analysis and Summability, the author makes a sincere attempt for a gentle introduction of these topics to students. In the functional analysis component of the book, the Hahn-Banach theorem, Banach-Steinhaus theorem (or uniform boundedness principle), the open mapping theorem, the closed graph theorem, and the Riesz representation theorem are highlighted. In the summability component of the book, the Silverman-Toeplitz theorem, Schur's theorem, the Steinhaus theorem, and the Steinhaus-type theorems are proved. The utility of functional analytic tools like the uniform boundedness principle to prove some results in summability theory is also pointed out. Features A gentle introduction of the topics to the students is attempted. Basic results of functional analysis and summability theory and their applications are highlighted. Many examples are provided in the text. Each chapter ends with useful exercises. This book will be useful to postgraduate students, pre-research level students, and research scholars in mathematics. Students of physics and engineering will also find this book useful since topics in the book also have applications in related areas.
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aFunctional analysis.
_912284
650 0 _aSummability theory.
_916753
650 7 _aMATHEMATICS / Functional Analysis
_2bisacsh
_912912
650 7 _aMATHEMATICS / Mathematical Analysis
_2bisacsh
_95470
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9781003089360
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
942 _cEBK
999 _c71329
_d71329