Abstract:
Various classes of extensions of symmetric operators with equal (finite or infinite) defect numbers are described in terms of abstract boundary conditions. The dual problem of the description of extensions of a symmetric binary relation is also considered.
This publication is cited in the following 79 articles:
Pavel Kurasov, Operator Theory: Advances and Applications, 293, Spectral Geometry of Graphs, 2024, 29
Kirill D. Cherednichenko, Yulia Yu. Ershova, Alexander V. Kiselev, “Norm-Resolvent Convergence for Neumann Laplacians on Manifold Thinning to Graphs”, Mathematics, 12:8 (2024), 1161
Alexander V. Kiselev, Kirill Ryadovkin, “Phase Transition in a Periodic Tubular Structure”, SIAM J. Appl. Math., 84:3 (2024), 890
Volodymyr Derkach, Harry Dym, “Entire Symmetric Operators in de Branges–Pontryagin Spaces and a Truncated Matrix Moment Problem”, Complex Anal. Oper. Theory, 18:7 (2024)
Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo, “Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions”, J. Phys. A: Math. Theor., 56:32 (2023), 325201
O. H. Storozh, “Maximally Accretive and Nonnegative Extensions of a Nonnegative Linear Relation”, J Math Sci, 270:1 (2023), 1
B. Malcolm Brown, Marco Marletta, Ian Wood, Operator Theory: Advances and Applications, 291, From Complex Analysis to Operator Theory: A Panorama, 2023, 3
Kirill D. Cherednichenko, Yulia Yu. Ershova, Alexander V. Kiselev, Vladimir A. Ryzhov, Luis O. Silva, Operator Theory: Advances and Applications, 291, From Complex Analysis to Operator Theory: A Panorama, 2023, 239
Vladislav Bruk, “Generalized resolvents of linear relations generated by integral equations with operator measures”, Filomat, 36:14 (2022), 4793
Matthias Eller, Illya M. Karabash, “M-dissipative boundary conditions and boundary tuples for Maxwell operators”, Journal of Differential Equations, 325 (2022), 82
Konrad Schmüdgen, “Adjoint pairs and unbounded normal operators”, Acta Sci. Math. (Szeged), 88:1-2 (2022), 449
Baidiuk D., Derkach V., Hassi S., “Unitary Boundary Pairs For Isometric Operators in Pontryagin Spaces and Generalized Coresolvents”, Complex Anal. Oper. Theory, 15:2 (2021), 32
D. V. Tretyakov, Yu. L. Kudryashov, “Ob obschem podkhode k postroeniyu samosopryazhennoi dilatatsii dissipativnogo operatora”, Issledovaniya po lineinym operatoram i teorii funktsii. 49, Zap. nauchn. sem. POMI, 503, POMI, SPb., 2021, 121–136
Bilender PAŞAOĞLU, Hüseyin TUNA, Yüksel YALÇINKAYA, “On the Dissipative Extensions of the Conformable Fractional Sturm-Liouville Operator”, Turkish Journal of Mathematics and Computer Science, 13:1 (2021), 1
V. M. Bruk, “On self-adjoint and invertible linear relations generated by integral equations”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2020, no. 1, 106–121
Goriunov A., “Multi-Interval Sturm-Liouville Problems With Distributional Coefficients”, Methods Funct. Anal. Topol., 26:2 (2020), 103–110
Vladislav M. Bruk, “Dissipative extensions of linear relations generated by integral equations with operator measures”, Zhurn. matem. fiz., anal., geom., 16:4 (2020), 381–401
O. G. Storozh, “Maximal accretive and nonnegative extensions of nonnegative linear relation”, Mat. Met. Fiz. Mekh. Polya, 63:1 (2020)
A.S. Goriunov, “Multi-interval dissipative Sturm–Liouville boundary-value problems with distributional coefficients”, Dopov. Nac. akad. nauk Ukr., 2020, no. 7, 10
Allahverdiev B.P., “Spectral Analysis of Singular Matrix-Valued Sturm-Liouville Operators”, Mediterr. J. Math., 16:4 (2019), 83