On strictly weakly mixing C*-dynamical systems

F. Mukhamedov

doi:10.1007/s10688-007-0030-y

On strictly weakly mixing C*-dynamical systems

F. Mukhamedov

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We consider strictly ergodic and strictly weakly mixing C*-dynamical cystems. We establish that a system is strictly weakly mixing if and only if its tensor product is strictly ergodic and strictly weakly mixing. We also investigate some weighted uniform ergodic theorem with respect to S-Besicovitch sequences for strictly weakly mixing dynamical systems.

Original language	English
Pages (from-to)	311-313
Number of pages	3
Journal	Functional Analysis and its Applications
Volume	41
Issue number	4
DOIs	https://doi.org/10.1007/s10688-007-0030-y
Publication status	Published - Oct 2007
Externally published	Yes

Keywords

C*-dynamical system
S-Besicovitch sequence
Strict ergodicity
Strictly weak mixing

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/s10688-007-0030-y

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title = "On strictly weakly mixing C*-dynamical systems",

abstract = "We consider strictly ergodic and strictly weakly mixing C*-dynamical cystems. We establish that a system is strictly weakly mixing if and only if its tensor product is strictly ergodic and strictly weakly mixing. We also investigate some weighted uniform ergodic theorem with respect to S-Besicovitch sequences for strictly weakly mixing dynamical systems.",

keywords = "C*-dynamical system, S-Besicovitch sequence, Strict ergodicity, Strictly weak mixing",

author = "F. Mukhamedov",

note = "Funding Information: ∗Supported by FCT grant SFRH/BPD/17419/2004 (Portugal).",

year = "2007",

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doi = "10.1007/s10688-007-0030-y",

language = "English",

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T1 - On strictly weakly mixing C*-dynamical systems

AU - Mukhamedov, F.

N1 - Funding Information: ∗Supported by FCT grant SFRH/BPD/17419/2004 (Portugal).

PY - 2007/10

Y1 - 2007/10

N2 - We consider strictly ergodic and strictly weakly mixing C*-dynamical cystems. We establish that a system is strictly weakly mixing if and only if its tensor product is strictly ergodic and strictly weakly mixing. We also investigate some weighted uniform ergodic theorem with respect to S-Besicovitch sequences for strictly weakly mixing dynamical systems.

AB - We consider strictly ergodic and strictly weakly mixing C*-dynamical cystems. We establish that a system is strictly weakly mixing if and only if its tensor product is strictly ergodic and strictly weakly mixing. We also investigate some weighted uniform ergodic theorem with respect to S-Besicovitch sequences for strictly weakly mixing dynamical systems.

KW - C-dynamical system

KW - S-Besicovitch sequence

KW - Strict ergodicity

KW - Strictly weak mixing

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U2 - 10.1007/s10688-007-0030-y

DO - 10.1007/s10688-007-0030-y

M3 - Article

AN - SCOPUS:38349049601

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SP - 311

EP - 313

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

IS - 4

ER -

On strictly weakly mixing C*-dynamical systems

Abstract

Keywords

ASJC Scopus subject areas

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