scholarly journals A class of hyponormal operators and weak*-continuity of hermitian operators

1987 ◽  
Vol 25 (1-2) ◽  
pp. 265-274 ◽  
Author(s):  
Kirsti Mattila
Keyword(s):  
Weak Continuity ◽  
Hyponormal Operators

scholarly journals Roberts’ weak welfarism theorem: a minor correction

2021 ◽  
Author(s):  
Peter J. Hammond
Keyword(s):  
Euclidean Space ◽  
Social Welfare ◽  
Utility Function ◽  
Weak Continuity ◽  
Strict Preference ◽  
Counter Example ◽  
Independence Of Irrelevant Alternatives ◽  
Unrestricted Domain ◽  
A Minor ◽  
Minor Correction

AbstractRoberts’ “weak neutrality” or “weak welfarism” theorem concerns Sen social welfare functionals which are defined on an unrestricted domain of utility function profiles and satisfy independence of irrelevant alternatives, the Pareto condition, and a form of weak continuity. Roberts (Rev Econ Stud 47(2):421–439, 1980) claimed that the induced welfare ordering on social states has a one-way representation by a continuous, monotonic real-valued welfare function defined on the Euclidean space of interpersonal utility vectors—that is, an increase in this welfare function is sufficient, but may not be necessary, for social strict preference. A counter-example shows that weak continuity is insufficient; a minor strengthening to pairwise continuity is proposed instead and its sufficiency demonstrated.

$M$ -hyponormal operators

1974 ◽  
Vol 41 (3) ◽  
pp. 655-660 ◽  
Author(s):  
Bhushan L. Wadhwa
Keyword(s):  
Hyponormal Operators

scholarly journals ANALYTIC EXTENSIONS OF M-HYPONORMAL OPERATORS

2016 ◽  
Vol 53 (1) ◽  
pp. 233-246
Author(s):  
SALAH MECHERI ◽  
FEI ZUO
Keyword(s):  
Hyponormal Operators

scholarly journals Quasi-posinormal operators

2010 ◽  
Vol 7 (3) ◽  
pp. 1282-1287
Author(s):  
Baghdad Science Journal
Keyword(s):  
Hilbert Space ◽  
Normal Operator ◽  
Basic Properties ◽  
Hyponormal Operators ◽  
The Relationship

In this paper, we introduce a class of operators on a Hilbert space namely quasi-posinormal operators that contain properly the classes of normal operator, hyponormal operators, M–hyponormal operators, dominant operators and posinormal operators . We study some basic properties of these operators .Also we are looking at the relationship between invertibility operator and quasi-posinormal operator .

scholarly journals Unitary dilation for polar decompositions of p-hyponormal operators

2005 ◽  
Author(s):  
Muneo Chō ◽  
Tadasi Huruya ◽  
Kôtarô Tanahashi
Keyword(s):  
Hyponormal Operators ◽  
Unitary Dilation
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