{"product_id":"functional-analysis-and-summability-9780367544492","title":"Functional Analysis and Summability","description":"\u003cp\u003e • Author(s): P.N. Natarajan\u003cbr\u003e • Publisher: Taylor \u0026amp; Francis\u003cbr\u003e • Publisher Imprint: CRC Press\u003cbr\u003e • BISAC: Functional Analysis\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThere are excellent books on both functional analysis and summability. Most of them are very terse. In \u003cb\u003e\u003cem\u003eFunctional Analysis and Summability\u003c\/em\u003e\u003c\/b\u003e, 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.\u003c\/p\u003e\u003cp\u003eFeatures\u003c\/p\u003e\u003cul\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eA gentle introduction of the topics to the students is attempted.\u003c\/li\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eBasic results of functional analysis and summability theory and their applications are highlighted.\u003c\/li\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eMany examples are provided in the text.\u003c\/li\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eEach chapter ends with useful exercises.\u003c\/li\u003e \u003c\/ul\u003e\u003cp\u003eThis 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.\u003c\/p\u003e","brand":"Taylor \u0026 Francis","offers":[{"title":"Hardcover","offer_id":45240534827159,"sku":"9780367544492","price":13149.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780367544492.webp?v=1769225890","url":"https:\/\/atlanticbooks.com\/products\/functional-analysis-and-summability-9780367544492","provider":"Atlantic Books","version":"1.0","type":"link"}