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  3. Funktionsanalyse og transformation

Counterexamples in Operator Theory

Af: Mohammed Hichem Mortad Engelsk Paperback

Counterexamples in Operator Theory

Af: Mohammed Hichem Mortad Engelsk Paperback
Tjek vores konkurrenters priser
This text is the first of its kind exclusively devoted to counterexamples in operator theory and includes over 500 problems on bounded and unbounded linear operators in Hilbert spaces. This volume is geared towards graduate students studying operator theory, and the author has designated the difficulty level for each counterexample, indicating which ones are also suitable for advanced undergraduate students.

The first half of the book focuses on bounded linear operators, including counterexamples in the areas of operator topologies, matrices of bounded operators, square roots, the spectrum, operator exponentials, and non-normal operators. The second part of the book is devoted to unbounded linear operators in areas such as closedness and closability, self-adjointness, normality, commutativity, and the spectrum, concluding with a chapter that features some open problems. Chapters begin with a brief "Basics" section for the readers'' reference, and many of the counterexamples included are the author''s original work. 

Counterexamples in Operator Theory can be used by students in graduate courses on operator theory and advanced matrix theory. Previous coursework in advanced linear algebra, operator theory, and functional analysis is assumed. Researchers, quantum physicists, and undergraduate students studying functional analysis and operator theory will also find this book to be a useful reference.

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Tjek vores konkurrenters priser
This text is the first of its kind exclusively devoted to counterexamples in operator theory and includes over 500 problems on bounded and unbounded linear operators in Hilbert spaces. This volume is geared towards graduate students studying operator theory, and the author has designated the difficulty level for each counterexample, indicating which ones are also suitable for advanced undergraduate students.

The first half of the book focuses on bounded linear operators, including counterexamples in the areas of operator topologies, matrices of bounded operators, square roots, the spectrum, operator exponentials, and non-normal operators. The second part of the book is devoted to unbounded linear operators in areas such as closedness and closability, self-adjointness, normality, commutativity, and the spectrum, concluding with a chapter that features some open problems. Chapters begin with a brief "Basics" section for the readers'' reference, and many of the counterexamples included are the author''s original work. 

Counterexamples in Operator Theory can be used by students in graduate courses on operator theory and advanced matrix theory. Previous coursework in advanced linear algebra, operator theory, and functional analysis is assumed. Researchers, quantum physicists, and undergraduate students studying functional analysis and operator theory will also find this book to be a useful reference.

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Produktdetaljer
Sprog: Engelsk
Sider: 598
ISBN-13: 9783030978167
Indbinding: Paperback
Udgave:
ISBN-10: 3030978168
Kategori: Funktionsanalyse og transformation
Udg. Dato: 5 maj 2023
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 5 maj 2023
Forfatter(e): Mohammed Hichem Mortad
Forfatter(e) Mohammed Hichem Mortad

Kategori Funktionsanalyse og transformation

ISBN-13 9783030978167

Sprog Engelsk

Indbinding Paperback

Sider 598

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 5 maj 2023

Oplagsdato 5 maj 2023

Forlag Springer Nature Switzerland AG

Kategori sammenhænge