BUDGE
发表于 2025-3-25 07:06:33
V. A. Mansurov,V. A. AnikolenkoThis chapter exposes briefly some further developments of the theory of multiplicity whose treatment lies outside the general scope of this book. Consequently, it possesses an expository and bibliographic character.
DAMN
发表于 2025-3-25 08:27:46
Algebraic Multiplicity Through Polynomial FactorizationThis chapter describes an equivalent approach to the concept of multiplicity . introduced in Chapter 4; in this occasion by means of an appropriate polynomial factorization of . at .. However, at first glance these approaches are seemingly completely different.
不易燃
发表于 2025-3-25 13:51:37
Uniqueness of the Algebraic MultiplicityThroughout this chapter, given ., two non-zero .-Banach spaces ., and ., we denote by . the set of all families . of class . in a neighborhood of . with values in . such that . the neighborhood may depend on .. We also set . Clearly, . if . and ., where . is another .-Banach space. Moreover, . whenever . and . Iso(.).
SOB
发表于 2025-3-25 18:04:51
Algebraic Multiplicity Through Logarithmic ResiduesThe stability results of Section 8.4 can be regarded as infinite-dimensional versions of the classic Rouché theorem. A closely related topic in complex function theory is the so-called ., otherwise known as the ., which has been established by Theorem 3.4.1 (for classical families) and Corollary 6.5.2 in a finite-dimensional setting.
grotto
发表于 2025-3-25 23:07:17
Further Developments of the Algebraic MultiplicityThis chapter exposes briefly some further developments of the theory of multiplicity whose treatment lies outside the general scope of this book. Consequently, it possesses an expository and bibliographic character.
吃掉
发表于 2025-3-26 01:00:12
J. López-Gómez,C. Mora-CorralIntroduces readers to the classic theory with the most modern terminology, and, simultaneously, conducts readers comfortably to the latest developments in the theory of the algebraic multiplicity of e
治愈
发表于 2025-3-26 05:55:34
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Common-Migraine
发表于 2025-3-26 09:25:06
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overwrought
发表于 2025-3-26 15:05:22
Birkhäuser Basel 2007
幸福愉悦感
发表于 2025-3-26 20:47:55
N. Marchand,J.-P. Bailon,J. I. Dicksoneature will be carried out in Section 3.3. Section 3.2 gives a result on Laurent series valid for vector-valued holomorphic functions. Finally, Section 3.4 constructs the spectral projections associated with the direct sum decomposition (1.6), whose validity was established by the Jordan Theorem 1.2.1.