@article{MTMT:3084669, title = {Adjoint of sums and products of operators in Hilbert spaces}, url = {https://m2.mtmt.hu/api/publication/3084669}, author = {Sebestyén, Zoltán and Tarcsay, Zsigmond}, doi = {10.14232/actasm-015-809-3}, journal-iso = {ACTA SCI MATH (SZEGED)}, journal = {ACTA SCIENTIARUM MATHEMATICARUM (SZEGED)}, volume = {82}, unique-id = {3084669}, issn = {0001-6969}, year = {2016}, pages = {175-191}, orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055} } @article{MTMT:3079729, title = {On the sum between a closable operator T and a T-bounded operator}, url = {https://m2.mtmt.hu/api/publication/3079729}, author = {Popovici, D and Sebestyén, Zoltán and Tarcsay, Zsigmond}, journal-iso = {ANN UNIV SCI BP R EÖTVÖS NOM SECT MATH}, journal = {ANNALES UNIVERSITATIS SCIENTIARUM BUDAPESTINENSIS DE ROLANDO EÖTVÖS NOMINATAE - SECTIO MATHEMATICA}, volume = {58}, unique-id = {3079729}, issn = {0524-9007}, year = {2015}, pages = {95-104}, orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055} } @article{MTMT:2969008, title = {Characterizations of essentially self-adjoint and skew-adjoint operators}, url = {https://m2.mtmt.hu/api/publication/2969008}, author = {Sebestyén, Zoltán and Tarcsay, Zsigmond}, doi = {10.1556/012.2015.52.3.1300}, journal-iso = {STUD SCI MATH HUNG}, journal = {STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA}, volume = {52}, unique-id = {2969008}, issn = {0081-6906}, abstract = {An extension of von Neumann's characterization of essentially selfadjoint operators is given among not necessarily densely defined symmetric operators which are assumed to be closable. Our arguments are of algebraic nature and follow the idea of [1]. © 2015 Akadémiai Kiadó, Budapest.}, keywords = {Symmetric operators; Skewadjoint operators; Skew-symmetric operators; Essentially selfadjoint operators}, year = {2015}, eissn = {1588-2896}, pages = {371-385}, orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055} } @article{MTMT:3079747, title = {Operators having selfadjoint squares}, url = {https://m2.mtmt.hu/api/publication/3079747}, author = {Sebestyén, Zoltán and Tarcsay, Zsigmond}, journal-iso = {ANN UNIV SCI BP R EÖTVÖS NOM SECT MATH}, journal = {ANNALES UNIVERSITATIS SCIENTIARUM BUDAPESTINENSIS DE ROLANDO EÖTVÖS NOMINATAE - SECTIO MATHEMATICA}, volume = {58}, unique-id = {3079747}, issn = {0524-9007}, year = {2015}, pages = {105-110}, orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055} } @article{MTMT:3079525, title = {On operators which are adjoint to each other}, url = {https://m2.mtmt.hu/api/publication/3079525}, author = {Popovici, Dan and Sebestyén, Zoltán}, doi = {10.14232/actasm-012-857-7}, journal-iso = {ACTA SCI MATH (SZEGED)}, journal = {ACTA SCIENTIARUM MATHEMATICARUM (SZEGED)}, volume = {80}, unique-id = {3079525}, issn = {0001-6969}, year = {2014}, pages = {175-194} } @article{MTMT:2853826, title = {A reversed von Neumann theorem}, url = {https://m2.mtmt.hu/api/publication/2853826}, author = {Sebestyén, Zoltán and Tarcsay, Zsigmond}, doi = {10.14232/actasm-013-283-x}, journal-iso = {ACTA SCI MATH (SZEGED)}, journal = {ACTA SCIENTIARUM MATHEMATICARUM (SZEGED)}, volume = {80}, unique-id = {2853826}, issn = {0001-6969}, year = {2014}, pages = {659-664}, orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055} } @article{MTMT:2541922, title = {CHARACTERIZATIONS OF SELFADJOINT OPERATORS}, url = {https://m2.mtmt.hu/api/publication/2541922}, author = {Sebestyén, Zoltán and Tarcsay, Zsigmond}, doi = {10.1556/SScMath.50.2013.4.1252}, journal-iso = {STUD SCI MATH HUNG}, journal = {STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA}, volume = {50}, unique-id = {2541922}, issn = {0081-6906}, abstract = {The purpose of this paper is to revise von Neumann's characterizations of selfadjoint operators among symmetric ones. In fact, we do not assume that the underlying Hilbert space is complex, nor that the corresponding operator is densely defined, moreover, that it is closed. Following Arens, we employ algebraic arguments instead of the geometric approach of von Neumann using the Cayley transform.}, keywords = {characterization; PERTURBATION; Positive operator; HILBERT-SPACE; selfadjoint operator; Symmetric operator}, year = {2013}, eissn = {1588-2896}, pages = {423-435}, orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055} } @article{MTMT:2433949, title = {T∗T always has a positive selfadjoint extension}, url = {https://m2.mtmt.hu/api/publication/2433949}, author = {Sebestyén, Zoltán and Tarcsay, Zsigmond}, doi = {10.1007/s10474-011-0154-7}, journal-iso = {ACTA MATH HUNG}, journal = {ACTA MATHEMATICA HUNGARICA}, volume = {135}, unique-id = {2433949}, issn = {0236-5294}, keywords = {Positive operator; selfadjoint operator; closable operator; operator extension; Krein-von Neumann extension; Friedrichs extension}, year = {2012}, eissn = {1588-2632}, pages = {116-129}, orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055} } @article{MTMT:2433953, title = {Operator extensions with closed range}, url = {https://m2.mtmt.hu/api/publication/2433953}, author = {Tarcsay, Zsigmond}, doi = {10.1007/s10474-011-0185-0}, journal-iso = {ACTA MATH HUNG}, journal = {ACTA MATHEMATICA HUNGARICA}, volume = {135}, unique-id = {2433953}, issn = {0236-5294}, keywords = {Positive operator; operator extension; Moore-Penrose inverse; Krein-von Neumann extension; Friedrichs extension; closed range}, year = {2012}, eissn = {1588-2632}, pages = {325-341}, orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055} } @article{MTMT:1674551, title = {Dominating cliques in P5-free graphs}, url = {https://m2.mtmt.hu/api/publication/1674551}, author = {Bacsó, Gábor and Tuza, Zsolt}, doi = {10.1007/BF02352694}, journal-iso = {PERIOD MATH HUNG}, journal = {PERIODICA MATHEMATICA HUNGARICA}, volume = {21}, unique-id = {1674551}, issn = {0031-5303}, abstract = {All induced connected subgraphs of a graph G contain a dominating set of pair-wise adjacent vertices if and only if there is no induced subgraph isomorphic to a path or a cycle of five vertices in G. Moreover, the problem of finding any given type of connected dominating sets in all members of a class G of graphs can be reduced to the graphs G∈G that have a cut-vertex or do not contain any cutset S dominated by some s∈S. © 1990 Akadémiai Kiadó.}, keywords = {AMS subject classification (1985/85): Primary}, year = {1990}, eissn = {1588-2829}, pages = {303-308}, orcid-numbers = {Bacsó, Gábor/0000-0002-8360-586X} } @article{MTMT:3066108, title = {ON RANGES OF ADJOINT OPERATORS IN HILBERT-SPACE}, url = {https://m2.mtmt.hu/api/publication/3066108}, author = {Sebestyén, Zoltán}, journal-iso = {ACTA SCI MATH (SZEGED)}, journal = {ACTA SCIENTIARUM MATHEMATICARUM (SZEGED)}, volume = {46}, unique-id = {3066108}, issn = {0001-6969}, year = {1983}, pages = {295-298} }