[图书][B] Counterexamples in operator theory

MH Mortad - 2022 - Springer
Counterexamples undeniably play an outstanding role in mathematics. As is known,
counterexamples are patently examples but with a different purpose. The commonly agreed …

Self-Adjointness

MH Mortad - Counterexamples in Operator Theory, 2022 - Springer
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Commutativity

MH Mortad - Counterexamples in Operator Theory, 2022 - Springer
We have already introduced the concept of commutativity of a bounded operator with an
unbounded one. In the case of two densely defined operators A and B, things are more …

Normality

MH Mortad - Counterexamples in Operator Theory, 2022 - Springer
Normality Page 1 Chapter 23 Normality 23.1 Basics Definition 23.1.1 A densely defined
operator A is said to be normal if Ax =A ∗ x , ∀x ∈ D(A) = D(A ∗ ). Here is an equivalent …

(Square) Roots of Bounded Operators

MH Mortad - Counterexamples in Operator Theory, 2022 - Springer
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