# On a function that realizes the maximal spectral type

Studia Mathematica (1997)

- Volume: 124, Issue: 1, page 1-7
- ISSN: 0039-3223

## Access Full Article

top## Abstract

top## How to cite

topFrączek, Krzysztof. "On a function that realizes the maximal spectral type." Studia Mathematica 124.1 (1997): 1-7. <http://eudml.org/doc/216395>.

@article{Frączek1997,

abstract = {We show that for a unitary operator U on $L^2(X,μ)$, where X is a compact manifold of class $C^r$, $r ∈ ℕ ∪ \{∞,ω\}$, and μ is a finite Borel measure on X, there exists a $C^r$ function that realizes the maximal spectral type of U.},

author = {Frączek, Krzysztof},

journal = {Studia Mathematica},

keywords = {unitary operator; compact manifold; maximal spectral type},

language = {eng},

number = {1},

pages = {1-7},

title = {On a function that realizes the maximal spectral type},

url = {http://eudml.org/doc/216395},

volume = {124},

year = {1997},

}

TY - JOUR

AU - Frączek, Krzysztof

TI - On a function that realizes the maximal spectral type

JO - Studia Mathematica

PY - 1997

VL - 124

IS - 1

SP - 1

EP - 7

AB - We show that for a unitary operator U on $L^2(X,μ)$, where X is a compact manifold of class $C^r$, $r ∈ ℕ ∪ {∞,ω}$, and μ is a finite Borel measure on X, there exists a $C^r$ function that realizes the maximal spectral type of U.

LA - eng

KW - unitary operator; compact manifold; maximal spectral type

UR - http://eudml.org/doc/216395

ER -

## References

top- [1] V. M. Alexeyev, Existence of a bounded function of the maximal spectral type, Ergodic Theory Dynam. Systems 2 (1982), 259-261.
- [2] S. Bochner and W. T. Martin, Several Complex Variables, Princeton Univ. Press, Princeton, 1948. Zbl0041.05205
- [3] N. Dunford and T. Schwartz, Linear Operators, Wiley-Interscience, 1971.
- [4] H. Grauert, On Levi's problem and the imbedding of real-analytic manifolds, Ann. of Math. 68 (1958), 460-472. Zbl0108.07804
- [5] W. Parry, Topics in Ergodic Theory, Cambridge Univ. Press, Cambridge, 1981. Zbl0449.28016

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.