Two Projection Theorems and Symbol Calculus for Operators with Massive Local Spectra | Zendy

Finck T. | Zendy; Roch S. | Zendy; Silbermann B. | Zendy

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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.

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