convex

Closedness of the orbit-closed $C$ -numerical range and submajorization

For a positive trace-class operator

C

and a bounded operator

A

, we provide an explicit description of the closure of the orbit-closed

C

-numerical range of

A

in terms of those operators submajorized by

C

and the essential numerical range of …

We introduce and investigate the orbit-closed

C

-numerical range, a natural modification of the

C

-numerical range of an operator introduced for

C

trace-class by Dirr and vom Ende. Our orbit-closed

C

-numerical range is a conservative …