Wszystkie pola: J-self-adjoint operators - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On self-adjoint operators in Krein spaces constructed by Clifford algebra Cl2
Autorzy:: Kuzhel, S.
Patsyuck, O.
Powiązania:: https://bibliotekanauki.pl/articles/256050.pdf
Data publikacji:: 2012
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: Krein spaces
extension theory of symmetric operators
operators with empty resolvent set
J-self-adjoint operators
Clifford algebra Cl2
Opis:: Let J and R be anti-commuting fundamental symmetries in a Hilbert space ℘. The operators J and R can be interpreted as basis (generating) elements of the complex Clifford algebra Cl2(J,R) := span{I, J;R, iJR}. An arbitrary non-trivial fundamental symmetry from Cl2(J,R) is determined by the formula [formula]. Let S be a symmetric operator that commutes with Cl2(J,R). The purpose of this paper is to study the sets [formula] of self-adjoint extensions of S in Krein spaces generated by fundamental symmetries [formula]. We show that the sets [formula] and [formula] are unitarily equivalent for different [formula] and describe in detail the structure of operators [formula] with empty resolvent set.
Źródło:: Opuscula Mathematica; 2012, 32, 2; 297-316
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Self-adjoint extensions of differential operators and exterior topological derivatives in shape optimization
Autorzy:: Nazarov, S. A.
Sokołowski, J.
Powiązania:: https://bibliotekanauki.pl/articles/970558.pdf
Data publikacji:: 2005
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: rozszerzenie samosprzężone
optymalizacja kształtu
zewnętrzna pochodna topologiczna
self-adjoint extension
shape optimization
exterior topological derivative
ligament
Opis:: Self-adjoint extensions are constructed for a family of boundary value problems in domains with a thin ligament and an asymptotic analysis of a Lq-continuous functional is performed. The results can be used in numerical methods of shape and topology optimization of integral functionals for elliptic equations. At some stage of optimization process the singular perturbation of geometrical domain by an addition of thin ligament can be replaced by its approximation denned for the appropriate self-adjoint extension of the elliptic operator. In this way the topology variation of current geometrical domain can be determined and used e.g., in the level-set type methods of shape optimization.
Źródło:: Control and Cybernetics; 2005, 34, 3; 903-925
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja