-
Inequalities for the spectral radius of non-negative functionsPeperko, AljošaLet ▫$(X,\mu)$▫ be a ▫$\sigma$▫-finite measure space and ▫$M(X \times X)_+$▫ a cone of all equivalence classes of (almost everywhere equal) non-negative measurable functions on a product measure ... space ▫$X \times X$▫. Using Luxemburg-Gribanov theorem we define a product ▫$\ast$▫ on ▫$M(X \times X)_+$▫. Given a function seminorm ▫$h: M(X \times X)_+ \to [0, 8]$▫, we introduce the spectral radius ▫$r_h(f)$▫ of ▫$f \in M(X \times X)_+$▫ with respect to ▫$h$▫ and ▫$\ast$▫. We give several examples. In particular, ▫$r_h(f)$▫ provides a generalization and unification of the spectral radius and its max version, the maximum cycle geometric mean, of a non-negative matrix. We generalize some known results for the Hadamard weighted geometric mean of positive kernel operators and apply them to obtain some inequalities concerning the generalized spectral radius and its max version. We also give a new description of the maximum cycle geometric mean.Vir: Positivity V conference : Queen's University Belfast, July 23-27, 2007 (Vol. 13, no. 1, 2009, str. 255-272)Vrsta gradiva - prispevek na konferenciLeto - 2009Jezik - angleškiCOBISS.SI-ID - 14658393
Avtor
Peperko, Aljoša
Teme
matematika |
teorija operatorjev |
merljive funkcije |
spektralni radij |
konvolucija |
max-algebra |
maksimalna ciklična geometrijska sredina |
utežena geometrijska sredina |
funkcijske neenakosti |
funkcijske norme |
operatorske neenakosti |
integralski operatorji |
Hadamardov produkt |
mrežne norme |
mathematics |
operator theory |
measurable functions |
spectral radius |
convolution |
max algebra |
maximum cycle geometric mean |
weighted geometric mean |
function inequalities |
function norms |
operator inequalities |
kernel operators |
Hadamard product |
lattice norms
![loading ... loading ...](themes/default/img/ajax-loading.gif)
vir: Positivity V conference : Queen's University Belfast, July 23-27, 2007 (Vol. 13, no. 1, 2009, str. 255-272)
![loading ... loading ...](themes/default/img/ajax-loading.gif)
![loading ... loading ...](themes/default/img/ajax-loading.gif)
![loading ... loading ...](themes/default/img/ajax-loading.gif)
Vnos na polico
Trajna povezava
- URL:
Faktor vpliva
Dostop do baze podatkov JCR je dovoljen samo uporabnikom iz Slovenije. Vaš trenutni IP-naslov ni na seznamu dovoljenih za dostop, zato je potrebna avtentikacija z ustreznim računom AAI.
Leto | Faktor vpliva | Izdaja | Kategorija | Razvrstitev | ||||
---|---|---|---|---|---|---|---|---|
JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
Baze podatkov, v katerih je revija indeksirana
Ime baze podatkov | Področje | Leto |
---|
Povezave do osebnih bibliografij avtorjev | Povezave do podatkov o raziskovalcih v sistemu SICRIS |
---|---|
Peperko, Aljoša | 24328 |
Izberite prevzemno mesto:
Prevzem gradiva po pošti
Obvestilo
Gesla v Splošnem geslovniku COBISS
Izbira mesta prevzema
Mesto prevzema | Status gradiva | Rezervacija |
---|
Prosimo, počakajte trenutek.