the real part of the numerical range is a convex set
$begingroup$
I know that the numerical range of an operator T is a subset of the complex numbers and it is a convex set. How can I prove that the real part of the numerical range is a convex set? (so I understand that it must be a line segment...)
In my mind this seems very logical but I need to explain it.
Thank you in advance for any ideas .
convex-analysis
asked Jan 14 at 15:24
AngelaAngela
1
$endgroup$
add a comment |
$begingroup$
I know that the numerical range of an operator T is a subset of the complex numbers and it is a convex set. How can I prove that the real part of the numerical range is a convex set? (so I understand that it must be a line segment...)
In my mind this seems very logical but I need to explain it.
Thank you in advance for any ideas .
convex-analysis
asked Jan 14 at 15:24
AngelaAngela
1
$endgroup$
add a comment |
$begingroup$
I know that the numerical range of an operator T is a subset of the complex numbers and it is a convex set. How can I prove that the real part of the numerical range is a convex set? (so I understand that it must be a line segment...)
In my mind this seems very logical but I need to explain it.
Thank you in advance for any ideas .
convex-analysis
asked Jan 14 at 15:24
AngelaAngela
1
$endgroup$
I know that the numerical range of an operator T is a subset of the complex numbers and it is a convex set. How can I prove that the real part of the numerical range is a convex set? (so I understand that it must be a line segment...)
In my mind this seems very logical but I need to explain it.
Thank you in advance for any ideas .
convex-analysis
convex-analysis
asked Jan 14 at 15:24
AngelaAngela
1
asked Jan 14 at 15:24
AngelaAngela
1
asked Jan 14 at 15:24
AngelaAngela
1
asked Jan 14 at 15:24
AngelaAngela
1
asked Jan 14 at 15:24
AngelaAngela
1
1
add a comment |
add a comment |
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