@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: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}
}

@article{MTMT:31033608,
	title = {Maps preserving absolute continuity and singularity of positive operators},
	url = {https://m2.mtmt.hu/api/publication/31033608},
	author = {Gehér, György and Tarcsay, Zsigmond and Titkos, Tamás},
	journal-iso = {NEW YORK J MATH},
	journal = {NEW YORK JOURNAL OF MATHEMATICS},
	volume = {26},
	unique-id = {31033608},
	issn = {1076-9803},
	year = {2020},
	pages = {129-137},
	orcid-numbers = {Gehér, György/0000-0003-1499-3229; Tarcsay, Zsigmond/0000-0001-8102-5055}
}

@article{MTMT:31038500,
	title = {Operators on anti-dual pairs: Lebesgue decomposition of positive operators},
	url = {https://m2.mtmt.hu/api/publication/31038500},
	author = {Tarcsay, Zsigmond},
	doi = {10.1016/j.jmaa.2019.123753},
	journal-iso = {J MATH ANAL APPL},
	journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS},
	volume = {484},
	unique-id = {31038500},
	issn = {0022-247X},
	year = {2020},
	eissn = {1096-0813},
	orcid-numbers = {Tarcsay, Zsigmond/0000-0001-8102-5055}
}

@article{MTMT:30349889,
	title = {Lebesgue type decompositions for linear relations and Ando's uniqueness criterion},
	url = {https://m2.mtmt.hu/api/publication/30349889},
	author = {Hassi, S. and Sebestyén, Zoltán and De, Snoo H.},
	doi = {10.14232/actasm-018-757-0},
	journal-iso = {ACTA SCI MATH (SZEGED)},
	journal = {ACTA SCIENTIARUM MATHEMATICARUM (SZEGED)},
	volume = {84},
	unique-id = {30349889},
	issn = {0001-6969},
	year = {2018},
	pages = {465-507}
}