Pregled bibliografske jedinice broj: 460872
Representation Theorems for Indefinite Quadratic Forms Revisited
Representation Theorems for Indefinite Quadratic Forms Revisited // Mathematika, 59 (2013), 1; 169-189 doi:10.1112/S0025579312000125 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 460872 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Representation Theorems for Indefinite Quadratic Forms Revisited
Autori
Grubišić, Luka ; Kostrykin, Vadim ; Makarov, Konstantin A. ; Veselić, Krešimir
Izvornik
Mathematika (0025-5793) 59
(2013), 1;
169-189
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Indefinite quadratic forms ; representation theorems ; perturbation theory ; Krein spaces ; Dirac operator
Sažetak
The first and second representation theorems for sign-indefinite, not necessarily semi-bounded quadratic forms are revisited. New straightforward proofs of these theorems are given. A number of necessary and sufficient conditions ensuring the second representation theorem to hold is proved. A new simple and explicit example of a self-adjoint operator for which the second representation theorem does not hold is also provided.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-037-0372783-2750 - Spektralne dekompozicije - numericke metode i primjene (Drmač, Zlatko, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
