JOURNAL BROWSE
Search
Advanced SearchSearch Tips
QUASI-INNER FUNCTIONS OF A GENERALIZED BEURLING`S THEOREM
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
QUASI-INNER FUNCTIONS OF A GENERALIZED BEURLING`S THEOREM
Kim, Yun-Su;
  PDF(new window)
 Abstract
We introduce two kinds of quasi-inner functions. Since every rationally invariant subspace for a shift operator S on a vector-valued Hardy space H(, K) is generated by a quasi-inner function, we also provide relationships of quasi-inner functions by comparing rationally invariant subspaces generated by them. Furthermore, we discuss fundamental properties of quasi-inner functions and quasi-inner divisors.
 Keywords
a generalized Beurling`s theorem;Hardy spaces;quasi-inner functions;rationally invariant subspaces;
 Language
English
 Cited by
 References
1.
H. Bercovici, Operator Theory and Arithmetic in $H^{\infty}$, Mathematical Surveys and Monographs, 26. American Mathematical Society, Providence, RI, 1988

2.
A. Beurling, On two problems concerning linear transformations in Hilbert space, Acta Math. 81 (1948), 17 pp crossref(new window)

3.
Paul R. Halmos, A Hilbert Space Problem Book, van Nostrand-Reinhold, Princeton, New Jersey, 1967

4.
Y. S. Kim, Linear algebraic properties for Jordan models of $C_o$-operators relative to multiply connected domains, J. Operator Theory 57 (2007), no. 2, 375-389

5.
W. Rudin, Analytic functions of class $H_p$, Trans. Amer. Math. Soc. 78 (1955), 46-66 crossref(new window)

6.
B. Sz.-Nagy and C. Foias, Harmonic Analysis of Operators on Hilbert Space, North- Holland, Amsterdam, 1970

7.
A. Zucchi, Operators of class $C_o$ with spectra in multiply connected regions, Mem. Amer. Math. Soc. 127 (1997), no. 607, viii+52 pp