An approach to joint spectra

• Autorzy: Angel Martínez Meléndez , Antoni Wawrzyńczyk
• Języki publikacji: EN

Abstrakty

EN

For a given unital Banach algebra A we describe joint spectra which satisfy the one-way spectral mapping property. Each spectrum of this class is uniquely determined by a family of linear subspaces of A called spectral subspaces. We introduce a topology in the space of all spectral subspaces of A and utilize it to the study of the properties of the spectra.

Słowa kluczowe

EN

spectral subspace; joint spectrum; Banach algebra

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1999
• Tom: 72
• Numer: 2
• Strony: 131-144

Daty

wydano

1999

otrzymano

1998-07-13

poprawiono

1998-12-17

Twórcy

autor

Angel Martínez Meléndez

• Universidad Autónoma Metropolitana - Azcapotzalco, Departamento de Ciencias Básicas, Av. San Pablo 180, col. Reynosa Tamaulipas, 02 200 México, D.F., México

autor

Antoni Wawrzyńczyk

• Universidad Autónoma Metropolitana - Iztapalapa, Av. Michoacán y la Purísima s/n, col. Vicentina AP 55-538, 09 340 México, D.F., México

Bibliografia

• [1] C.-K. Fong and A. Sołtysiak, Existence of a multiplicative functional and joint spectra, Studia Math. 81 (1985), 213-220.
• [2] R. Harte, Invertibility and Singularity for Bounded Linear Operators, Marcel Dekker, New York, 1988.
• [3] V. Kordula and V. Müller, On the axiomatic theory of spectrum, Studia Math. 119 (1996), 109-128.
• [4] V. Müller, Spectral systems, unpublished notes, 1997.
• [5] A. Sołtysiak, Approximate point joint spectrum and multiplicative functionals, Studia Math. 86 (1987), 227-286.
• [6] A. Sołtysiak, Joint spectra and multiplicative functionals, Colloq. Math. 56 (1989), 357-366.
• [7] A. Sołtysiak, Joint Spectra and Multiplicative Linear Functionals in Non-commutative Banach Algebras, Wyd. Nauk. Uniw. im. A. Mickiewicza, Poznań, 1988.
• [8] W. Żelazko, An axiomatic approach to joint spectra I, Studia Math. 64 (1979), 249-261.