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تجزیه و تحلیل عملکرد و قابلیت جمع
تجزیه و تحلیل عملکرد و قابلیت جمع

Functional Analysis and Summability
نویسنده: P.N. Natarajan
سال انتشار: 2021
تعداد صفحات: 241
زبان فایل: انگلیسی
فرمت فایل: pdf
حجم فایل: 7MB
قیمت: 100,000ريال

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Publisher : Chapman and Hall/CRC

ISBN-10 : 0367544490

ISBN-13 : 978-0367544492

ASIN : B08KHCN7GK

There 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.