Numerical Range and Sub-Self-Adjoint Operators

• الفئة :

    كتب علمية

• الإسم الكامل للمؤلف (ين):

    Dr. Chettouh Raouda

• الرقم الدولي المعياري للكتاب (ISBN) :

    978-9969-05-374-6

• عدد الصفحات :

    130

• الميدان :

    علوم دقيقة

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: ملخص

The geometrical properties of the numerical range often provide useful information about the analytic and algebraic properties of operators. In this book, we study the numerical range and give a necessary and sufficient condition for an operator so that his numerical range is a line segment, and we determine their straight support in this case. We called the operator whose numerical range is a line segment by sub‐self‐adjoint operator and we initiated a study of this new class. This class contains the self-adjoint operators and contained in the class of normal operators. We show that this class is uniformly closed, invariant under unitary equivalence and invariant under affine transformation. Some properties of the sub‐self‐adjoint operators and their numerical ranges are investigated