If a Banach space is the internal direct sum of closed subspaces, then is isomorphic to.
2.
Certain expressions that designate a value simultaneously express a condition that is assumed to hold, for instance those involving the operator \ oplus to designate an internal direct sum.
3.
In fact, there is an internal direct sum decomposition \ mathit { gl } _ n = \ mathit { sl } _ n \ oplus k of operators / matrices into traceless operators / matrices and scalars operators / matrices.