6533b7d8fe1ef96bd126ad21

RESEARCH PRODUCT

Closedness and lower semicontinuity of positive sesquilinear forms

Camillo TrapaniGiorgia BellomonteSalvatore Triolo

subject

Discrete mathematicsMathematics::Functional AnalysisPure mathematicsMathematics::Operator AlgebrasSesquilinear formGeneral MathematicsMathematics::Optimization and ControlMathematics::General TopologyClosedness Semicontinuity Sesquilinear formsDomain (mathematical analysis)Topological vector spaceSettore MAT/05 - Analisi MatematicaAlgebra over a fieldCompleteness (statistics)Equivalence (measure theory)Subspace topologyQuotientMathematics

description

The relationship between the notion of closedness, lower semicontinuity and completeness (of a quotient) of the domain of a positive sesquilinear form defined on a subspace of a topological vector space is investigated and sufficient conditions for their equivalence are given.

yearjournalcountryeditionlanguage
2009-07-18Rendiconti del Circolo Matematico di Palermo
https://doi.org/10.1007/s12215-009-0020-4