TY - JOUR AU - Sebestyén, Zoltán AU - Stochel, J TI - On suboperators with codimension one domains JF - JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS J2 - J MATH ANAL APPL VL - 360 PY - 2009 IS - 2 SP - 391 EP - 397 PG - 7 SN - 0022-247X DO - 10.1016/j.jmaa.2009.06.062 UR - https://m2.mtmt.hu/api/publication/2406325 ID - 2406325 LA - English DB - MTMT ER - TY - JOUR AU - Sebestyén, Zoltán AU - Stochel, J TI - On products of unbounded operators JF - ACTA MATHEMATICA HUNGARICA J2 - ACTA MATH HUNG VL - 100 PY - 2003 IS - 1-2 SP - 105 EP - 129 PG - 25 SN - 0236-5294 DO - 10.1023/A:1024660318703 UR - https://m2.mtmt.hu/api/publication/2385743 ID - 2385743 AB - A symmetric operator X̂ is attached to each operator X that leaves the domain of a given positive operator A invariant and makes the product AX symmetric. Some spectral properties of X̂ are derived from those of X and, as a consequence, various conditions ensuring positivity of products of the form AX1 ⋯ Xn are proved. The question of Ω-complete positivity of the mapping p → Ap(X1, . . . , Xn) defined on complex polynomials in n variables is investigated. It is shown that the set Ω is related to the MCIntosh-Pryde joint spectrum of (X1, . . . , Xn) in case all the operators A, X1, . . . , Xn are bounded. Examples illustrating the theme of the paper are included. LA - English DB - MTMT ER - TY - JOUR AU - Sikolya, Eszter AU - Sebestyén, Zoltán TI - On Krein-von Neumann and Friedrichs extensions JF - ACTA SCIENTIARUM MATHEMATICARUM (SZEGED) J2 - ACTA SCI MATH (SZEGED) VL - 69 PY - 2003 SP - 323 EP - 336 PG - 14 SN - 0001-6969 UR - https://m2.mtmt.hu/api/publication/1340569 ID - 1340569 LA - English DB - MTMT ER - TY - JOUR AU - Prokaj, Vilmos AU - Sebestyén, Zoltán TI - On extremal positive operator extensions JF - ACTA SCIENTIARUM MATHEMATICARUM (SZEGED) J2 - ACTA SCI MATH (SZEGED) VL - 62 PY - 1996 IS - 3-4 SP - 485 EP - 491 PG - 7 SN - 0001-6969 UR - https://m2.mtmt.hu/api/publication/1839283 ID - 1839283 LA - English DB - MTMT ER - TY - JOUR AU - Prokaj, Vilmos AU - Sebestyén, Zoltán TI - On Friedrichs extensions of operators JF - ACTA SCIENTIARUM MATHEMATICARUM (SZEGED) J2 - ACTA SCI MATH (SZEGED) VL - 62 PY - 1996 IS - 1-2 SP - 243 EP - 246 PG - 4 SN - 0001-6969 UR - https://m2.mtmt.hu/api/publication/1839282 ID - 1839282 LA - English DB - MTMT ER - TY - JOUR AU - Sebestyén, Zoltán TI - Operator extensions on Hilbert space JF - ACTA SCIENTIARUM MATHEMATICARUM (SZEGED) J2 - ACTA SCI MATH (SZEGED) VL - 57 PY - 1993 IS - 1-4 SP - 233 EP - 248 PG - 16 SN - 0001-6969 UR - https://m2.mtmt.hu/api/publication/3079731 ID - 3079731 LA - English DB - MTMT ER - TY - JOUR AU - Sebestyén, Zoltán AU - Stochel, Jan TI - Restrictions of positive selfadjoint operators JF - ACTA SCIENTIARUM MATHEMATICARUM (SZEGED) J2 - ACTA SCI MATH (SZEGED) VL - 55 PY - 1991 IS - 1-2 SP - 149 EP - 154 PG - 6 SN - 0001-6969 UR - https://m2.mtmt.hu/api/publication/3079745 ID - 3079745 LA - English DB - MTMT ER - TY - JOUR AU - Sebestyén, Zoltán TI - ON RANGES OF ADJOINT OPERATORS IN HILBERT-SPACE JF - ACTA SCIENTIARUM MATHEMATICARUM (SZEGED) J2 - ACTA SCI MATH (SZEGED) VL - 46 PY - 1983 IS - 1-4 SP - 295 EP - 298 PG - 4 SN - 0001-6969 UR - https://m2.mtmt.hu/api/publication/3066108 ID - 3066108 LA - English DB - MTMT ER - TY - JOUR AU - Sebestyén, Zoltán TI - RESTRICTIONS OF POSITIVE OPERATORS JF - ACTA SCIENTIARUM MATHEMATICARUM (SZEGED) J2 - ACTA SCI MATH (SZEGED) VL - 46 PY - 1983 IS - 1-4 SP - 299 EP - 301 PG - 3 SN - 0001-6969 UR - https://m2.mtmt.hu/api/publication/3066109 ID - 3066109 LA - English DB - MTMT ER -