Geodesic
Closedness and self-adjointness criteria for block operator matrices involving fully-subordinate entries
Filomat, Tome 36 (2022) no. 8, p. 2729

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DOI

In the present paper, we consider a 2 × 2 block operator matrices with unbounded entry operators acting on Banach spaces. Under some conditions, we develop criteria for its self-adjointness and closedness. The obtained results are applied to an Hamiltonian operator matrix.
DOI : 10.2298/FIL2208729C
Classification : 47A05, 47A55
Keywords: Matrix operator, fully subordinate, diagonal dominant, closed operators, self-adjoint operators, bounded from below 
Salma Charfi; Hanen Ellouz. Closedness and self-adjointness criteria for block operator matrices involving fully-subordinate entries. Filomat, Tome 36 (2022) no. 8, p. 2729 . doi: 10.2298/FIL2208729C
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     title = {Closedness and self-adjointness criteria for block operator matrices involving fully-subordinate entries},
     journal = {Filomat},
     pages = {2729 },
     year = {2022},
     volume = {36},
     number = {8},
     doi = {10.2298/FIL2208729C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2208729C/}
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