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Spectral theory, tensor products and infinite dimensional holomorphy

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Abstract

In this expository article we survey some recent developments on the construction of a holomorphic functional calculus for an infinite number of elements in a commutative unital Banach algebra.

참고문헌 (15)

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  4. "Spectra of tensor product elements II", 101(2), pp.197~220 (2001)
  5. "Spectra of tensor product elements III", 103(1), pp.61~93 (2003)
  6. J. E. Gal?e, "Unicity of a holomorphic functional calculus in innite dimensions", 295(2) (1986)
  7. M. C. Matos, "Approximation of analytic functions by rational functions in Ba-nach spaces", 56(2) (1984)
  8. "On holomorphy in Banach spaces and absolute convergence of Fourierseries", 45(4) (1988)
  9. "A Banach-Dieudonne theorem for germs of holomorphic functions", 57(1), pp.3148~ (1984)
  10. "Complex Analysis in Banach Spaces" (1986), North-Holland Math. Studies
  11. "Unas aplicaciones de un calculo funcional holomorfo endimension innita", 29(3) (1978)
  12. "On the decomposition of a commutative normed ring into a di-rect sum of ideals" (1955)
  13. "Le calcul symbolique dans les alg`ebres commutatives", 33 (1954)
  14. "Lecture Notes in Math." (1973), Springer-Verlag
  15. "uniqueness and continuity of functional calculus homomorphisms"

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