Counterexamples in Operator Theory

Mohammed Hichem Mortad ()
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Mohammed Hichem Mortad: University of Oran 1, Department of Mathematics

in Springer Books from Springer

Date: 2022
ISBN: 978-3-030-97814-3
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Chapters in this book:

Ch Chapter 1 Some Basic Properties

Mohammed Hichem Mortad

Ch Chapter 10 Compact Operators

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Ch Chapter 11 Functional Calculi

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Ch Chapter 12 Fuglede-Putnam Theorems and Intertwining Relations

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Ch Chapter 13 Operator Exponentials

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Ch Chapter 14 Nonnormal Operators

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Ch Chapter 15 Similarity and Unitary Equivalence

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Ch Chapter 16 The Sylvester Equation

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Ch Chapter 17 More Questions and Some Open Problems

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Ch Chapter 18 Basic Notions

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Ch Chapter 19 Closedness

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Ch Chapter 2 Basic Classes of Bounded Linear Operators

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Ch Chapter 20 Adjoints, Symmetric Operators

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Ch Chapter 21 Self-Adjointness

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Ch Chapter 22 (Arbitrary) Square Roots

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Ch Chapter 23 Normality

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Ch Chapter 24 Absolute Value. Polar Decomposition

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Ch Chapter 25 Unbounded Nonnormal Operators

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Ch Chapter 26 Commutativity

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Ch Chapter 27 The Fuglede–Putnam Theorems and Intertwining Relations

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Ch Chapter 28 Commutators

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Ch Chapter 29 Spectrum

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Ch Chapter 3 Operator Topologies

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Ch Chapter 30 Matrices of Unbounded Operators

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Ch Chapter 31 Relative Boundedness

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Ch Chapter 32 More Questions and Some Open Problems II

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Ch Chapter 4 Positive Operators

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Ch Chapter 5 Matrices of Bounded Operators

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Ch Chapter 6 (Square) Roots of Bounded Operators

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Ch Chapter 7 Absolute Value, Polar Decomposition

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Ch Chapter 8 Spectrum

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Ch Chapter 9 Spectral Radius, Numerical Range

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DOI: 10.1007/978-3-030-97814-3

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