On the adjoint of operator matrices with unbounded entries II

Autor:	Alatancang Chen, De Yu Wu
Rok vydání:	2015
Předmět:	Discrete mathematics Applied Mathematics General Mathematics Hilbert space Block (permutation group theory) Quasinormal operator Von Neumann's theorem symbols.namesake Factorization Hermitian adjoint symbols Unitary operator Self-adjoint operator Mathematics
Zdroj:	Acta Mathematica Sinica, English Series. 31:995-1002
ISSN:	1439-7617 1439-8516
DOI:	10.1007/s10114-015-4275-8
Popis:	In this paper, the adjoint of a densely defined block operator matrix $$\mathcal{L} = [_{CD}^{AB} ]$$ in a Hilbert space X × X is studied and the sufficient conditions under which the equality $$\mathcal{L}* = [_{B*D*}^{A*C*} ]$$ holds are obtained through applying Frobenius-Schur factorization.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::186f0cada5a3afd8dcfb030c8828c722 https://doi.org/10.1007/s10114-015-4275-8 Zobrazit plný text záznamu Plný text ve formátu PDF