6533b7d1fe1ef96bd125c360

RESEARCH PRODUCT

THE CAUCHY DUAL AND 2-ISOMETRIC LIFTINGS OF CONCAVE OPERATORS

Laurian SuciuCatalin Badea

subject

Cauchy dual operatorsubnormal operatorPure mathematics[MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]01 natural sciencessymbols.namesakeFOS: Mathematics0101 mathematicsconcave operatorMathematics47A05 47A15 47A20 47A63Mathematics::Functional AnalysisMathematics::Operator AlgebrasApplied Mathematics010102 general mathematicsHilbert spaceCauchy distributionExtension (predicate logic)Special class2-isometric liftingsA-contractionFunctional Analysis (math.FA)Dual (category theory)Mathematics - Functional Analysis010101 applied mathematicssymbolsAnalysis

description

We present some 2-isometric lifting and extension results for Hilbert space concave operators. For a special class of concave operators we study their Cauchy dual operators and discuss conditions under which these operators are subnormal. In particular, the quasinormality of compressions of such operators is studied.

yearjournalcountryeditionlanguage
2018-11-22
https://hal.archives-ouvertes.fr/hal-03494647