Premium
Two Projection Theorems and Symbol Calculus for Operators with Massive Local Spectra
Author(s) -
Finck T.,
Roch S.,
Silbermann B.
Publication year - 1993
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19931620114
Subject(s) - mathematics , embedding , projection (relational algebra) , symbol (formal) , singular integral , algebra over a field , pure mathematics , operator theory , calculus (dental) , banach algebra , banach space , mathematical analysis , integral equation , algorithm , medicine , dentistry , artificial intelligence , computer science , programming language
In this paper we construct a symbol calculus for Banach algebras generated by two idempotents and a coefficient algebra. This, combined with local principles for „embedding algebras”, leads to a symbol calculus for singular integral operators on spaces with Muckenhoupt weight and for singular integral operators with measurable coefficients.