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Journal of functional analysis, ISSN 0022-1236, 2018, Volume 275, Issue 7, pp. 1808 - 1888
The spectral properties of non-self-adjoint extensions A[B] of a symmetric operator in a Hilbert space are studied with the help of ordinary and quasi boundary triples and the corresponding Weyl functions... 
Weyl function | Differential operator | Spectral enclosure | Non-self-adjoint extension | STRONG DELTA-INTERACTION | CLOSED EXTENSIONS | GENERALIZED RESOLVENTS | SECTORIAL EXTENSIONS | BOUNDARY-VALUE-PROBLEMS | MATHEMATICS | TO-NEUMANN OPERATOR | DIFFERENTIAL-OPERATORS | EIGENVALUE BOUNDS | SCHRODINGER-OPERATORS | QUANTUM GRAPHS | Nuclear physics | Mathematics - Spectral Theory
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 2017, Volume 449, Issue 2, pp. 1382 - 1412
Homogeneous Besov and Triebel–Lizorkin spaces with complete set of indices are introduced in the general setting of a doubling metric measure space in the presence of a non-negative self-adjoint operator whose heat kernel... 
Heat kernel | Homogeneous spaces | Generalized polynomials | Besov spaces | Triebel–Lizorkin spaces | Distributions | MATHEMATICS | MATHEMATICS, APPLIED | Triebel-Lizorkin spaces | DECOMPOSITION | DIRICHLET SPACES
Journal Article
Journal of functional analysis, ISSN 0022-1236, 2018, Volume 275, Issue 2, pp. 259 - 287
... be a faithful normal semifinite tracial weight of M. Suppose that H and H1 are self-adjoint operators affiliated with M. We show that if H−H1 is in M∩L1(M,τ... 
The Kato–Rosenblum theorem | The generalized wave operators | von Neumann algebras | Norm-ideal perturbations | MATHEMATICS | The Kato-Rosenblum theorem
Journal Article
International Journal of Theoretical Physics, ISSN 0020-7748, 6/2013, Volume 52, Issue 6, pp. 1994 - 2000
Journal Article
Integral equations and operator theory, ISSN 1420-8989, 2018, Volume 90, Issue 4, pp. 1 - 30
... . We study the compressions of the self-adjoint extensions of S in some Hilbert space . These compressions are symmetric extensions of S in... 
Compression | GENERALIZED RESOLVENTS | Symmetric and self-adjoint operators | Krein's resolvent formula | Q-function | Self-adjoint extension | Hilbert space | HILBERT-SPACE | Generalized resolvent | LINEAR RELATIONS | To be checked by Faculty | 47B25 | Analysis | Krein’s resolvent formula | Q -function | 47A56 | Mathematics | 47A20 | MATHEMATICS | Computer science
Journal Article
Annals of nuclear energy, ISSN 0306-4549, 2019, Volume 134, pp. 226 - 234
•The neutron importance is used for loading pattern optimization.•Different adjoint-based neutron importance functions are developed and studied... 
Adjoint | Neutron importance | Optimization | Neutron transport | Loading pattern | DESIGN | FUEL MANAGEMENT OPTIMIZATION | NUCLEAR SCIENCE & TECHNOLOGY | GENERALIZED PERTURBATION-THEORY | Algorithms | Nuclear reactors | Mathematical optimization | Nuclear facilities
Journal Article
Reports on Mathematical Physics, ISSN 0034-4877, 2006, Volume 58, Issue 2, pp. 207 - 221
We prove a variant of Krein's resolvent formula expressing the resolvents of self-adjoint extensions through the associated boundary conditions... 
linear relations | self-adjoint extensions | boundary conditions | Krein's resolvent formula | STATES | GENERALIZED RESOLVENTS | SYMMETRIC-OPERATORS | SPECTRAL PROPERTIES | FORMULA | PHYSICS, MATHEMATICAL | SCHRODINGER-OPERATORS
Journal Article
Boundary value problems, ISSN 1687-2770, 07/2020, Volume 2020, Issue 1, pp. 1 - 13
We consider the non-self-adjoint Sturm-Liouville operator on a finite interval. The inverse spectral problem is studied, which consists in recovering this operator from its eigenvalues and generalized weight numbers... 
MATHEMATICS | MATHEMATICS, APPLIED | Method of spectral mappings | Inverse spectral problems | Stability | Boundary value problem | Local solvability | Non-self-adjoint Sturm-Liouville operator | Generalized spectral data | REGULARITY CRITERION | Eigenvalues | Inverse problems | Eigen values | Non-self-adjoint Sturm–Liouville operator
Journal Article
MEDITERRANEAN JOURNAL OF MATHEMATICS, ISSN 1660-5446, 02/2020, Volume 17, Issue 2
.... Necessary and sufficient conditions for B to be equal to the adjoint of A are provided. Several consequences are also presented... 
closed linear relation | MATHEMATICS, APPLIED | FACTORIZATION APPROACH | normal linear relation | SELF-ADJOINT | Skew-adjoint linear relation | SUMS | MATHEMATICS | selfadjoint linear relation | generalized orthogonal projection | Hilbert space | EXTENSION THEORY | OPERATORS
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 03/2020, Volume 148, Issue 3, pp. 1095 - 1108
In this paper, oscillation theorems are given for second-order self-adjoint impulsive differential equations... 
PDE | MATHEMATICS | MATHEMATICS, APPLIED | generalized Riccati transformation | Oscillation of solutions | integral averaging technique | THEOREMS | impulse
Journal Article
Journal of intelligent & fuzzy systems, ISSN 1875-8967, 2019, Volume 37, Issue 3, pp. 3629 - 3638
.... In this paper, axiomatic characterizations of set-theoretic operators are investigated. We construct an adjoint generalized (dual... 
FORMAL CONCEPT ANALYSIS | Concept lattice | generalized concept system | galois connection | CONNECTIONS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | CONCEPT LATTICE REDUCTION | ROUGH SETS | 3-WAY | set-theoretic operator | ATTRIBUTE REDUCTION | MINIMIZATION | OPERATORS | Operators (mathematics) | Axioms | Economic models
Journal Article