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Let (X, g) be a hermitian compact manifold.
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Let X be a Kähler manifold, and E be a Hermitian vector bundle on X.
Let X be a Hermitian complex space of pure dimension n.
Let T be a Hermitian subspace.
Corollary 2 Let N ∈ C n × n and M ∈ C n × n be a Hermitian and skew-Hermitian matrices, respectively.
T is said to be a Hermitian subspace if T ⊂ T ∗.
(b) Let be a Hermitian Banach -algebra and be the Pták function on.
Each of these is contained in the so-called compact dual, which is a Hermitian symmetric spaces of compact type.
In the global case, let (X,ω) be a compact Hermitian homogeneous manifold where ω is an invariant Hermitian metric (not necessarily Kähler).
This can be proved by the theorem24 which states that the spectrum is real if and only if there exists an operator satisfying, where is a Hermitian operator.
is a Hermitian transpose.
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