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Spectral gaps of the Laplacian on differential forms. (English) Zbl 07548711

Chen, Bang-Yen (ed.) et al., Differential geometry and global analysis. AMS special session honoring the memory of Tadashi Nagano (1930–2017), Denver, CO, USA, January 16, 2020. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 777, 127-135 (2022).
MSC:  53C21 58J50 53C23
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Dirac operators with singular potentials supported on unbounded surfaces in \(\mathbb{R}^3 \). (English. Russian original) Zbl 1486.81101

Funct. Anal. Appl. 55, No. 3, 245-249 (2021); translation from Funkts. Anal. Prilozh. 55, No. 3, 85-90 (2021).
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Structure of essential spectrum and discrete spectrum of the energy operator of five-electron systems in the Hubbard model – doublet states. (English) Zbl 1480.81060

Kusraev, Anatoly G. (ed.) et al., Operator theory and differential equations. Selected papers based on the presentations at the 15th conference on order analysis and related problems of mathematical modeling, Vladikavkaz, Russia, July 15–20, 2019. Cham: Birkhäuser. Trends Math., 275-301 (2021).
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Left-right essential spectra of one-sided operator matrix and application. (English) Zbl 07361677

Jeribi, Aref (ed.), Operator theory. Proceedings of the international conference on operator theory, Hammamet, Tunisia, April 30 – May 3, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 157-175 (2021).
MSC:  47A10 47A53 34K08
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Invariance of essential spectrum by means of generalized weak demicompactness. (English) Zbl 07361673

Jeribi, Aref (ed.), Operator theory. Proceedings of the international conference on operator theory, Hammamet, Tunisia, April 30 – May 3, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 115-120 (2021).
MSC:  47A53 47A10
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Pathology of essential spectra of elliptic problems in periodic family of beads threaded by a spoke thinning at infinity. (English) Zbl 1467.35226

MSC:  35P05 35J57
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Spectral gaps on complete Riemannian manifolds. (English) Zbl 1461.53024

Van der Veken, Joeri (ed.) et al., Geometry of submanifolds. AMS special session in honor of Bang-Yen Chen’s 75th birthday, University of Michigan, Ann Arbor, Michigan, October 20–21, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 756, 57-67 (2020).
MSC:  53C21 53C23 58J50
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Infinite number of eigenvalues of \(2\times 2\) operator matrices: asymptotic discrete spectrum. (English. Russian original) Zbl 1458.81023

Theor. Math. Phys. 205, No. 3, 1564-1584 (2020); translation from Teor. Mat. Fiz. 205, No. 3, 368-390 (2020).
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Invariance of the essential spectra of operator pencils. (English) Zbl 07299680

Curto, Raul E. (ed.) et al., Operator theory, operator algebras and their interactions with geometry and topology. Ronald G. Douglas memorial volume. Proceedings of the international workshop on operator theory and applications (IWOTA 2018), Shanghai, China, July 23–27, 2018. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 278, 203-219 (2020).
MSC:  47A06 47A53 47A56
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About the spectral properties of one three-partial model operator. (English. Russian original) Zbl 1453.82041

Russ. Math. 64, No. 5, 1-7 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 5, 3-10 (2020).
MSC:  82C10 47B25
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Dirac operators on \(\mathbb{R}\) with general point interactions. (English) Zbl 07244866

Bauer, Wolfram (ed.) et al., Operator algebras, Toeplitz operators and related topics. Selected papers based on the presentations at the international workshop, Boca del Rio, Veracruz, Mexico, November 13–19, 2018. In honor of Nikolai Vasilevskin on the occasion of his 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 279, 351-381 (2020).
MSC:  47-XX 46Lxx
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