@article{MTMT:34751048,
	title = {Reduction of positive self-adjoint extensions},
	url = {https://m2.mtmt.hu/api/publication/34751048},
	author = {Tarcsay, Zsigmond and Sebestyén, Zoltán},
	doi = {10.7494/OpMath.2024.44.3.425},
	journal-iso = {OPUSC MATHEMATICA},
	journal = {OPUSCULA MATHEMATICA},
	volume = {44},
	unique-id = {34751048},
	issn = {1232-9274},
	year = {2024},
	pages = {425-438},
	orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055}
}

@article{MTMT:34317106,
	title = {Operators on anti-dual pairs. Supremum and infimum of positive operators},
	url = {https://m2.mtmt.hu/api/publication/34317106},
	author = {Tarcsay, Zsigmond and Göde, Ábel},
	doi = {10.1016/j.jmaa.2023.127893},
	journal-iso = {J MATH ANAL APPL},
	journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS},
	volume = {531},
	unique-id = {34317106},
	issn = {0022-247X},
	year = {2024},
	eissn = {1096-0813},
	orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055}
}

@article{MTMT:33766588,
	title = {Extensions of positive symmetric operators and Krein's uniqueness criteria},
	url = {https://m2.mtmt.hu/api/publication/33766588},
	author = {Sebestyén, Zoltán and Tarcsay, Zsigmond},
	doi = {10.1080/03081087.2023.2196610},
	journal-iso = {LINEAR MULTILINEAR A},
	journal = {LINEAR AND MULTILINEAR ALGEBRA},
	unique-id = {33766588},
	issn = {0308-1087},
	year = {2023},
	eissn = {1563-5139},
	orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055}
}

@CONFERENCE{MTMT:33126635,
	title = {Pozitív operátorok struktúrái},
	url = {https://m2.mtmt.hu/api/publication/33126635},
	author = {Tarcsay, Zsigmond},
	booktitle = {Intézményi ÚNKP Konferencia 2022},
	unique-id = {33126635},
	year = {2022},
	pages = {325},
	orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055}
}

@article{MTMT:32508425,
	title = {Maps preserving the Douglas solution of operator equations},
	url = {https://m2.mtmt.hu/api/publication/32508425},
	author = {Tarcsay, Zsigmond},
	doi = {10.1016/j.jmaa.2021.125802},
	journal-iso = {J MATH ANAL APPL},
	journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS},
	volume = {507},
	unique-id = {32508425},
	issn = {0022-247X},
	year = {2022},
	eissn = {1096-0813},
	orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055}
}

@article{MTMT:32080872,
	title = {Perturbations of surjective homomorphisms between algebras of operators on Banach spaces},
	url = {https://m2.mtmt.hu/api/publication/32080872},
	author = {Horváth, Bence and Tarcsay, Zsigmond},
	doi = {10.1090/proc/15666},
	journal-iso = {P AM MATH SOC},
	journal = {PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY},
	volume = {150},
	unique-id = {32080872},
	issn = {0002-9939},
	year = {2022},
	eissn = {1088-6826},
	pages = {747-761},
	orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055}
}

@article{MTMT:32163878,
	title = {Operators on anti-dual pairs: Generalized Krein-von Neumann extension},
	url = {https://m2.mtmt.hu/api/publication/32163878},
	author = {Tarcsay, Zsigmond and Titkos, Tamás},
	doi = {10.1002/mana.201800431},
	journal-iso = {MATH NACHR},
	journal = {MATHEMATISCHE NACHRICHTEN},
	volume = {294},
	unique-id = {32163878},
	issn = {0025-584X},
	abstract = {The main aim of this paper is to generalize the classical concept of a positive operator, and to develop a general extension theory, which overcomes not only the lack of a Hilbert space structure, but also the lack of a normable topology. The concept of anti-duality carries an adequate structure to define positivity in a natural way, and is still general enough to cover numerous important areas where the Hilbert space theory cannot be applied. Our running example - illustrating the applicability of the general setting to spaces bearing poor geometrical features - comes from noncommutative integration theory. Namely, representable extension of linear functionals of involutive algebras will be governed by their induced operators. The main theorem, to which the vast majority of the results is built, gives a complete and constructive characterization of those operators that admit a continuous positive extension to the whole space. Various properties such as commutation, or minimality and maximality of special extensions will be studied in detail.},
	keywords = {Kernel; Positive operator; operator extension; *-algebra; positive functional; anti-duality},
	year = {2021},
	eissn = {1522-2616},
	pages = {1821-1838},
	orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055}
}

@article{MTMT:32080890,
	title = {On the Krein-von Neumann and Friedrichs extension of positive operators},
	url = {https://m2.mtmt.hu/api/publication/32080890},
	author = {Sebestyén, Zoltán and Tarcsay, Zsigmond},
	journal-iso = {ACTA WASA},
	journal = {ACTA WASAENSIA},
	volume = {462},
	unique-id = {32080890},
	issn = {0355-2667},
	year = {2021},
	pages = {165-178},
	orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055}
}

@article{MTMT:31840162,
	title = {Canonical Graph Contractions of Linear Relations on Hilbert Spaces},
	url = {https://m2.mtmt.hu/api/publication/31840162},
	author = {Tarcsay, Zsigmond and Sebestyén, Zoltán},
	doi = {10.1007/s11785-020-01066-3},
	journal-iso = {COMPLEX ANAL OPER TH},
	journal = {COMPLEX ANALYSIS AND OPERATOR THEORY},
	volume = {15},
	unique-id = {31840162},
	issn = {1661-8254},
	year = {2021},
	eissn = {1661-8262},
	orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055}
}

@article{MTMT:31203615,
	title = {Operators on anti-dual pairs: Generalized Schur complement},
	url = {https://m2.mtmt.hu/api/publication/31203615},
	author = {Tarcsay, Zsigmond and Titkos, Tamás},
	doi = {10.1016/j.laa.2020.02.031},
	journal-iso = {LINEAR ALGEBRA APPL},
	journal = {LINEAR ALGEBRA AND ITS APPLICATIONS},
	volume = {614},
	unique-id = {31203615},
	issn = {0024-3795},
	abstract = {The goal of this paper is to develop the theory of Schur complementation in the context of operators acting on anti-dual pairs. As a byproduct, we obtain a natural generalization of the parallel sum and parallel difference, as well as the Lebesgue-type decomposition. To demonstrate how this operator approach works in application, we derive the corresponding results for operators acting on rigged Hilbert spaces, and for representable functionals of ⁎-algebras.},
	year = {2021},
	eissn = {1873-1856},
	pages = {125-143},
	orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055; Titkos, Tamás/0000-0002-3891-7020}
}