Annals of the University of Bucharest (Mathematical Series)

COD CNCSIS: 1905, contract nr. 538/2009

Descrierea succinta a proiectului de cercetare

Proiectul are doua directii de cercetare. Prima directie de cercetare este dedicata studiului spatiilor Banach de matrici superior triunghiulare infinite, numite matrici analitice precum si a unor operatori de speciali care actioneaza pe ele, drept exemple fiind operatorii Hankel si operatorii de multiplicare Schur. Se are in vedere continuarea studiului spatiilor matriceale analoage spatiilor Bloch si respective Bergman de functii analitice studiu inceput de Nicolae Popa. In plus un rol important in studiul acestor spatii il vor juca multiplicatorii Schur, obtinandu-se noi rezultate fata de studiul clasic al multiplicatorilor Fourier. De asemenea vor fi considetrati operatori Hankel matriciali studiati anterior de V. V Peller si M. Marsalli. Un accent deosebit se va pune pe nuclearitatea acestor operatori si relatia lor cu spatiile Besov de matrici precum si cu un spatiu considerat de Pelczynski si Sukochev. A doua directie de cercetare consta in cautarea unor metode de asociere a unor clase de functii scalare si a unor corespondente intre sisteme de operatori pe spatii Banach astfel incat sa aiba loc o proprietate de transformare a spectrului, analoaga teoremei de transformare a spectrului din cazul calculului functional. In acest context se are in vedere calculul functional al comutatorului sistemelor de operatori si studiul unor clase de operatori analoage bicomutantului sistemelor de operatori in spatii Banach.

Director de proiect

Prof. Dr. Sabac Mihai

Membrii

Cercetator Stiintific gr. I Popa Nicolae
Doctorand Marcoci Anca-Nicoleta
Doctorand Marcoci Liviu-Gabriel

Lucrari publicate in cadrul proiectului

"A new characterization of Bergman-Schatten spaces and a duality result" avand ca autori pe Liviu Gabriel Marcoci, Lars-Erik Persson, Irina Popa si Nicolae Popa in revista cotata ISI Journal of Mathematical Analysis and Applications, vol. 360, Iss. 1, 2009.
"Schur multipliers characterization of a class of infinite matrices", autori Anca Nicoleta Marcoci, Liviu Gabriel Marcoci, Lars-Erik Persson si Nicolae Popa acceptata pentru publicare in revista cotata ISI Czechoslovak Mathematical Journal.
"Commuting systems of bounded operators, factorizations and spectral correspondence", autor Mihai Sabac acceptata in volumul dedicat Conferintei Internationale Operator Theory 22.

Annals of the University of Bucharest (mathematical series), ISSN 2067-9009 is a mathematical research journal, published by the University of Bucharest, Faculty of Mathematics and Computer Science. This journal continues Analele Universitatii din Bucuresti-Matematica, founded in 1952. Annals of the University of Bucharest (mathematical series) aims at publishing high level original research papers and surveys, in all areas of pure and applied mathematics. The papers published in this journal are abstracted in Mathematical Reviews and Zentralblatt Math. The journal consists of one yearly volume divided in 2 issues. Contributions should be in English and should be sent to one of the members of the Editorial Board or to one of the Editorial Secretaries.

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EDITORIAL OFFICE

FACULTY of MATHEMATICS and COMPUTER SCIENCE
UNIVERSITY of BUCHAREST
Str. Academiei 14
010014 Bucharest, Romania

Contact: annalsub fmi.unibuc.ro

ISSN 2067-9009

EDITORIAL BOARD

CABIRIA ANDREIAN-CAZACU (University of Bucharest, Cabiria.Andreian@imar.ro) • VIOREL BARBU (University of Iasi, vb41@uaic.ro) • LUCIAN BEZNEA ("Simion Stoilow" Inst.of Math., Lucian.Beznea@imar.ro) • HAIM BREZIS (The State University of New Jersey, brezis@math.rutgers.edu) • STEFAAN CAENEPEEL (Vrije Universiteit Brussel, scaenepe@vub.ac.be) • ION CHITESCU (University of Bucharest, ionchitescu@yahoo.com) • PHILIPPE CIARLET (City University of Hong Kong, MAPGC@cityu.edu.hk) • DOINA CIORANESCU (Universite Pierre et Marie Curie, cioran@ann.jussieu.fr) • NICOLAIE D. CRISTESCU (University of Bucharest, cristesc@ufl.edu) • ROMULUS CRISTESCU (University of Bucharest, romuluscristescu@yahoo.com) • IOAN CUCULESCU (University of Bucharest, icucul@fmi.unibuc.ro) • NICOLAE DINCULEANU (University of Florida, nd@math.ufl.edu) • VIOREL IFTIMIE(University of Bucharest, viftimie@fmi.unibuc.ro) • GEORGE GEORGESCU (University of Bucharest, georgescu@fmi.unibuc.ro) • PALTIN IONESCU (University of Bucharest, Paltin.Ionescu@imar.ro) • MARIUS IOSIFESCU ("Gh. Mihoc-C. Iacob" Inst. of Math. Statist. and Appl. Math, miosifes@acad.ro) • YVON MADAY (Universite Pierre et Marie Curie, maday@ann.jussieu.fr) • GERARD MAUGIN (Universite Pierre et Marie Curie, gerard.maugin@upmc.fr) • JEAN MAWHIN (Universite Catholique de Louvain, Jean.Mawhin@uclouvain.be) • PETRU MIRONESCU (Université de Lyon, mironescu@math.univ-lyon1.fr) • CONSTANTIN NASTASESCU (University of Bucharest, constantin_nastasescu@yahoo.com) • LIVIU ORNEA (University of Bucharest, lornea@gta.math.unibuc.ro) • DORIN POPESCU (University of Bucharest, Dorin.Popescu@imar.ro) • VASILE PREDA (University of Bucharest, preda@fmi.unibuc.ro) • ROGER TEMAM (Indiana University, temam@indiana.edu) • IOAN TOMESCU (University of Bucharest, ioan@fmi.unibuc.ro)

EDITOR-IN-CHIEF:
MANAGING EDITOR:

EDITORIAL SECRETARIES:
RADU MICULESCU, University of Bucharest, miculesc@yahoo.com
MIHAI-SORIN STUPARIU, University of Bucharest, stupariu@fmi.unibuc.ro