TY - JOUR A2 - Miyagaki, O. A2 - Deng, S. AU - Sun, Huaqing AU - Qi, Jiangang PY - 2012 DA - 2012/04/24 TI - The Theory for 𝐽-Hermitian Subspaces in a Product Space SP - 676835 VL - 2012 AB - This paper is concerned with the theory for J-Hermitian subspaces. The defect index of a J-Hermitian subspace is defined, and a formulafor the defect index is established; the result that every J-Hermitian subspacehas a J-self-adjoint subspace extension is obtained; all the J-self-adjointsubspace extensions of a J-Hermitian subspace are characterized. This theorywill provide a fundamental basis for characterizations of J-self-adjoint extensionsfor linear nonsymmetric expressions on general time scales in terms ofboundary conditions, including both differential and difference cases. SN - null UR - https://doi.org/10.5402/2012/676835 DO - 10.5402/2012/676835 JF - ISRN Mathematical Analysis PB - International Scholarly Research Network KW - ER -