A Kato's second type representation theorem for solvable sesquilinear forms

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6 Citazioni (Scopus)

Abstract

Kato's second representation theorem is generalized to solvable sesquilinear forms. These forms need not be non-negative nor symmetric. The representation considered holds for a subclass of solvable forms (called hyper-solvable), precisely for those whose domain is exactly the domain of the square root of the modulus of the associated operator. This condition always holds for closed semibounded forms, and it is also considered by several authors for symmetric sign-indefinite forms. As a consequence, a one-to-one correspondence between hyper-solvable forms and operators, which generalizes those already known, is established.
Lingua originaleEnglish
pagine (da-a)982-998
Numero di pagine17
RivistaJournal of Mathematical Analysis and Applications
Volume462
Stato di pubblicazionePublished - 2018

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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