@article{MTMT:32083562, title = {Adjoint to each other linear relations. Nieminen type criteria}, url = {https://m2.mtmt.hu/api/publication/32083562}, author = {Roman, Marcel and Sandovici, Adrian}, doi = {10.1007/s00605-021-01579-9}, journal-iso = {MONATSH MATH}, journal = {MONATSHEFTE FUR MATHEMATIK}, unique-id = {32083562}, issn = {0026-9255}, year = {2021}, eissn = {1436-5081} } @article{MTMT:31325292, title = {On the Adjoint of Linear Relations in Hilbert Spaces}, url = {https://m2.mtmt.hu/api/publication/31325292}, author = {Sandovici, Adrian}, doi = {10.1007/s00009-020-1503-y}, journal-iso = {MEDITERR J MATH}, journal = {MEDITERRANEAN JOURNAL OF MATHEMATICS}, volume = {17}, unique-id = {31325292}, issn = {1660-5446}, year = {2020}, eissn = {1660-5454} } @misc{MTMT:32083554, title = {Unbounded operators having self-adjoint or normal powers and some related results}, url = {https://m2.mtmt.hu/api/publication/32083554}, author = {Souheyb, Dehimi and Mohammed, Hichem Mortad}, unique-id = {32083554}, year = {2020} } @article{MTMT:31089104, title = {THE SQUARE ROOT OF NONNEGATIVE SELFADJOINT LINEAR RELATIONS IN HILBERT SPACES}, url = {https://m2.mtmt.hu/api/publication/31089104}, author = {Roman, Marcel and Sandovici, Adrian}, doi = {10.7900/jot.2018may24.2226}, journal-iso = {J OPERAT THEOR}, journal = {JOURNAL OF OPERATOR THEORY}, volume = {82}, unique-id = {31089104}, issn = {0379-4024}, abstract = {An elementary construction of the square root of nonnegative selfadjoint linear relations in Hilbert spaces is presented.}, keywords = {Hilbert space; SQUARE ROOT; Nonnegative linear relation; Selfadjoint linear relation}, year = {2019}, eissn = {1841-7744}, pages = {357-367} } @article{MTMT:30440389, title = {A range matrix-type criterion for the self-adjointness of symmetric linear relations}, url = {https://m2.mtmt.hu/api/publication/30440389}, author = {Sandovici, A.}, doi = {10.1007/s10474-018-0883-y}, journal-iso = {ACTA MATH HUNG}, journal = {ACTA MATHEMATICA HUNGARICA}, volume = {158}, unique-id = {30440389}, issn = {0236-5294}, abstract = {The main objective of this paper is to provide a range-type criterion for the self-adjointness of symmetric linear relations in real or complex Hilbert spaces. The main used ingredient is a matrix whose entries are certain linear relations.}, year = {2019}, eissn = {1588-2632}, pages = {27-35} } @article{MTMT:30440374, title = {Self-adjointness and skew-adjointness criteria involving powers of linear relations}, url = {https://m2.mtmt.hu/api/publication/30440374}, author = {Sandovici, Adrian}, doi = {10.1016/j.jmaa.2018.09.063}, journal-iso = {J MATH ANAL APPL}, journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS}, volume = {470}, unique-id = {30440374}, issn = {0022-247X}, abstract = {The main objective of this paper is to provide range-type criteria for the self-adjointness of symmetric linear relations and for the skew-adjointness of skew-symmetric linear relations in real or complex Hilbert spaces, respectively. These range-type criteria involve powers of linear relations.}, keywords = {Hilbert space; Symmetric linear relation; Nonnegative linear relation; Selfadjoint linear relation; Skew-symmetric linear relation; Skew-adjoint linear relation}, year = {2019}, eissn = {1096-0813}, pages = {186-200} } @article{MTMT:30446535, title = {On the adjoint of Hilbert space operators}, url = {https://m2.mtmt.hu/api/publication/30446535}, author = {Sebestyén, Zoltán and Tarcsay, Zsigmond}, doi = {10.1080/03081087.2018.1430120}, journal-iso = {LINEAR MULTILINEAR A}, journal = {LINEAR AND MULTILINEAR ALGEBRA}, volume = {67}, unique-id = {30446535}, issn = {0308-1087}, abstract = {In general, it is a non-trivial task to determine the adjoint S* of an unbounded operator S acting between two Hilbert spaces. We provide necessary and sufficient conditions for a given operator T to be identical with S*. In our considerations, a central role is played by the operator matrix M-S,M-T = (I -T S I). Our approach has several consequences such as characterizations of closed, normal, skew- and selfadjoint, unitary and orthogonal projection operators in real or complex Hilbert spaces. We also give a self-contained proof of the fact that T*T always has a positive selfadjoint extension.}, keywords = {Positive operator; selfadjoint operator; adjoint; closed operator}, year = {2019}, eissn = {1563-5139}, pages = {625-645}, orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055} } @article{MTMT:3293570, title = {On the square root of a positive selfadjoint operator}, url = {https://m2.mtmt.hu/api/publication/3293570}, author = {Sebestyén, Zoltán and Tarcsay, Zsigmond}, doi = {10.1007/s10998-017-0192-1}, journal-iso = {PERIOD MATH HUNG}, journal = {PERIODICA MATHEMATICA HUNGARICA}, volume = {75}, unique-id = {3293570}, issn = {0031-5303}, abstract = {We provide a short, elementary proof of the existence and uniqueness of the square root in the context of unbounded positive selfadjoint operators on real or complex Hilbert spaces.}, keywords = {SQUARE ROOT; Positive operator; selfadjoint operator; Unbounded operator}, year = {2017}, eissn = {1588-2829}, pages = {268-272}, orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055} }