On the Adjoint of Operator Matrices with Unbounded Entries II

In this paper, the adjoint of a densely defined block operator matrix L=[A B C D] in a Hilbert space X ×X is studied and the sufficient conditions under which the equality L＊=[A＊ B＊ C＊ D＊] holds are obtained through applying Frobenius-Schur factorization.

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Veröffentlicht in:	Acta mathematica Sinica. English series 2015-06, Vol.31 (6), p.995-1002
Hauptverfasser:	Wu, De Yu, Chen, Alatancang
Format:	Artikel
Sprache:	eng
Schlagworte:	Adjoints Algebra Blocking Equality Factorization Hilbert space Hilbert空间 Linear algebra Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Matrices (mathematics) Matrix methods Nonlinear equations Operators Studies Texts Theorems 伴随充分条件分解无界算子矩阵
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Beschreibung
Zusammenfassung:	In this paper, the adjoint of a densely defined block operator matrix L=[A B C D] in a Hilbert space X ×X is studied and the sufficient conditions under which the equality L＊=[A＊ B＊ C＊ D＊] holds are obtained through applying Frobenius-Schur factorization.
ISSN:	1439-8516 1439-7617
DOI:	10.1007/s10114-015-4275-8