Open AccessBasic properties of unbounded weighted conditional type operators
Author(s) -
Xiaofeng Liu,
Yousef Estaremi
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2102367l
Subject(s) - mathematics , hilbert space , conditional expectation , operator (biology) , operator theory , type (biology) , multiplication (music) , context (archaeology) , quasinormal operator , spectral theorem , operator norm , spectrum (functional analysis) , pure mathematics , discrete mathematics , finite rank operator , combinatorics , banach space , statistics , ecology , paleontology , biochemistry , chemistry , physics , repressor , quantum mechanics , biology , transcription factor , gene
In this paper we consider unbounded weighted conditional type (WCT) operators on Lp-space. We provide some conditions under which WCT operators on Lp-spaces are densely defined. Specifically, we obtain a dense subset of their domain. Moreover, we get that a WCT operator is continuous if and only if it is every where defined. A description of polar decomposition, spectrum, spectral radius, normality and hyponormality of WCT operators in this context are provided. Finally, we apply some results of hyperexpansive operators to WCT operators on the Hilbert space L2(?). As a consequence hyperexpansive multiplication operators are investigated.