ALL libraries (COBIB.SI union bibliographic/catalogue database)
13.
Linear maps on selfadjoint operators preserving invertibility, positive definiteness, numerical range
Li, Chi-Kwong ; Rodman, Leiba ; Šemrl, Peter
Naj bo ▫$H$▫ kompleksen Hilbertov prostor in ▫${\mathcal H}(H)$▫ realen prostor vseh hermitskih operatorjev na ▫$H$▫. Študiramo linearne preslikave ▫$\phi: {\mathcal H}(H) \to {\mathcal H}(H)$▫, ki ...ohranjajo obrnljivost, pozitivnost, numerični zaklad, itd. Zveznosti ne privzamemo vnaprej. Pod določenimi predpostavkami (surjektivnost in injektivnost) mora biti ▫$\phi$▫ oblike ▫$X \mapsto \xi TXT^\ast$▫ ali ▫$X \mapsto \xi TX^tT^\ast$▫, kjer je ▫$T$▫ obrnljiv in unitaren operator, ▫$\xi \in \{1,-1\}$▫ in ▫$X^t$▫ označuje transponiran operator glede na neko ortonormirano bazo. S primeri pokažemo, da je nujno privzeti surjektivnost, injektivnost ali kako sorodno lastnost. Rezultate razširimo na algebro ▫${\mathcal B}(H)$▫ in na linearne prostore operatorjev oblike (▫$\alpha I + K$▫, kjer je ▫$\alpha$▫ poljuben skalar in ▫$K$▫ poljuben kompakten operator.
It was not necessary to add the material to the shelf.
Bibliographic material was successfully added on shelf.
Adding bibliographical material on shelf was not successful.
Material is already on the shelf.
Permalink
URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year
Impact factor
Edition
Category
Classification
JCR
SNIP
JCR
SNIP
JCR
SNIP
JCR
SNIP
Select the library membership card:
DRS,
in which the journal is indexed
Database name
Field
Year
Links to authors' personal bibliographies
Links to information on researchers in the SICRIS system
Subject headings in COBISS General List of Subject Headings
Select pickup location
The material from the parent unit is free. If the material is delivered to the pickup location from another unit, the library may charge you for this service.
