| dc.contributor.advisor |
Jocić, Danko |
|
| dc.contributor.author |
Lazarević, Milan |
|
| dc.date.accessioned |
2021-01-13T08:43:53Z |
|
| dc.date.available |
2021-01-13T08:43:53Z |
|
| dc.date.issued |
2020 |
|
| dc.identifier.uri |
http://hdl.handle.net/123456789/5092 |
|
| dc.description.abstract |
ist of already known and recently established Cauchy-Schwarz inequalities fore lementary operators,σ-elementary transformers and inner product type transformers iscomplemented by the next variant of Cauchy-Schwarz inequality in Schatten-von Neumann ideals: ZΩAtA∗tdμ(t) 12q−12ZΩAtXBtdμ(t) ZΩB∗tBtdμ(t) 12r−12p6 ZΩA∗tAtdμ(t) 12qX ZΩBtB∗tdμ(t) 12rpfor allX2Cp(H)and for allp, q, r>1which satisfies2p=1q+1r,if families of operatorsfAtgt∈Ω,fA∗tgt∈Ω,fBtgt∈Ω,fB∗tgt∈Ωare strongly square integrabile, such thatRΩAtA∗tdμ(t)andRΩB∗tBtdμ(t)are (boundedly) invertible operators.Enabled by some additional conditions of commutativity and normality for operator fami-liesfAng∞n=1,fBng∞n=1,fAtgt∈ΩandfBtgt∈Ω,as well as by the degree ofp-modifications ofunitary invariant norms, some others variants of those inequalities will also be considered,including their applications to the certain problems in operator theory, norm inequalities forgeneralized function derivations of Pick operator values functions and operator values Fouriertransformations of complex measures, as well as some Grüss-Landau type inequalities. |
en_US |
| dc.description.provenance |
Submitted by Slavisha Milisavljevic (slavisha) on 2021-01-13T08:43:53Z
No. of bitstreams: 1
disertacija_Lazarevic_Milan_dorada.pdf: 1868663 bytes, checksum: 56decb231fb61a75d16973fcba457236 (MD5) |
en |
| dc.description.provenance |
Made available in DSpace on 2021-01-13T08:43:53Z (GMT). No. of bitstreams: 1
disertacija_Lazarevic_Milan_dorada.pdf: 1868663 bytes, checksum: 56decb231fb61a75d16973fcba457236 (MD5)
Previous issue date: 2020 |
en |
| dc.language.iso |
sr |
en_US |
| dc.publisher |
Beograd |
en_US |
| dc.title |
NEJEDNAKOSTI KOŠI-ŠVARCA I GRIS-LANDAUA ZA ELEMENTARNE OPERATORE I TRANSFORMERE TIPA UNUTRAŠNJEG PROIZVODA NA Q I Q" IDEALIMA KOMPAKTNIH OPERATORA |
en_US |
| mf.author.birth-date |
1991-09-06 |
|
| mf.author.birth-place |
Čačak |
en_US |
| mf.author.birth-country |
Srbija |
en_US |
| mf.author.residence-state |
Srbija |
en_US |
| mf.author.citizenship |
Srpsko |
en_US |
| mf.author.nationality |
Srbin |
en_US |
| mf.subject.area |
Mathematics |
en_US |
| mf.subject.keywords |
elementary operators, inner product type transformers, Q and Q∗norms, opera-tor monotone functions |
en_US |
| mf.subject.subarea |
Analysis |
en_US |
| mf.contributor.committee |
Šmerl, Peter |
|
| mf.contributor.committee |
Đorđrvić, Dragan |
|
| mf.contributor.committee |
Jocić, Danko |
|
| mf.contributor.committee |
Kečkić, Dragoljub |
|
| mf.contributor.committee |
Krtinić, Đorđe |
|
| mf.university.faculty |
Mathematical faculty |
en_US |
| mf.document.pages |
90 |
en_US |
| mf.document.location |
Belgrade |
en_US |
| mf.document.genealogy-project |
No |
en_US |
| mf.university |
Belgrade University |
en_US |