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|a 908065657
|a 922981602
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|a 9781470404079
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|a 1470404079
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|z 9780821835210
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|a (OCoLC)851086262
|z (OCoLC)908065657
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|a QA3
|b .A57 no. 806
|a QA322.2
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|a 510 s 515/.732
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|a UAMI
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|a Argyros, S.
|q (Spiros),
|d 1950-
|1 https://id.oclc.org/worldcat/entity/E39PCjFTdxXf3GbC3kFvrvV3Hy
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|a Methods in the theory of hereditarily indecomposable Banach spaces /
|c Spiros A. Argyros, Andreas Tolias.
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|a Providence, R.I. :
|b American Mathematical Society,
|c ©2004.
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|a 1 online resource (vi, 114 pages)
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
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|a Memoirs of the American Mathematical Society,
|x 1947-6221 ;
|v v. 806
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|a "July 2004, Volume 170, Number 806 (third of 4 numbers)."
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|a Includes bibliographical references (pages 113-114).
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|a Print version record.
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|a Introduction General results about H.I. spaces Schreier families and repeated averages The space ${X= T [G, (\mathcal{S}_{n_j}, {\tfrac {1}{m_j})}_{j}, D]}$ and the auxiliary space ${T_{ad}}$ The basic inequality Special convex combinations in $X$ Rapidly increasing sequences Defining $D$ to obtain a H.I. space ${X_G}$ The predual ${(X_G)_*}$ of ${X_G}$ is also H.I. The structure of the space of operators ${\mathcal L}(X_G)$ Defining $G$ to obtain a nonseparable H.I. space ${X_G^*}$ Complemented embedding of ${\ell^p}, {1\le p <\infty}$, in the duals of H.I. spaces Compact families in $\mathbb{N}$ The space ${X_{G}=T[G, (\mathcal{S}_{\xi_j}, {\tfrac {1}{m_j})_{j}}, D]}$ for an ${\mathcal{S}_{\xi}}$ bounded set $G$ Quotients of H.I. spaces Bibliography.
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|t Introduction
|t 1. General results about H.I. spaces
|t 2. Schreier families and repeated averages
|t 3. The space $X = T[G, (\mathcal {S}_{n_j}, 1/m_j)_j, D]$ and the auxiliary space $T_{ad}$
|t 4. The basic inequality
|t 5. Special convex combinations in $X$
|t 6. Rapidly increasing sequences
|t 7. Defining $D$ to obtain a H.I.\ space $X_G$
|t 8. The predual $(X_G)_*$ of $X_G$ is also H.I.
|t 9. The structure of the space of operators $\mathcal {L}(X_G)$
|t 10. Defining $G$ to obtain a nonseparable H.I.\ space $X^*_G$
|t 11. Complemented embedding of $l^p$, $1 \leq p <\infty $, in the duals of H.I.\ spaces
|t 12. Compact families in $\mathbb {N}$
|t 13. The space $X_G = T[G, (\mathcal {S}_\xi, 1/m_j)_j, D]$ for an $\mathcal {S}_\xi $ bounded set $G$
|t 14. Quotients of H.I.\ spaces.
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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|a Normed linear spaces.
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|a Banach spaces.
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|a Espaces linéaires normés.
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|a Espaces de Banach.
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|a Banach spaces
|2 fast
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|a Normed linear spaces
|2 fast
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|a Tolias, Andreas,
|d 1974-
|1 https://id.oclc.org/worldcat/entity/E39PCjM7k4PjmRJCHRVbWDBPry
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758 |
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|i has work:
|a Methods in the theory of hereditarily indecomposable Banach spaces (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCG3B6ghyCt9DDhjDkfVmr3
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
776 |
0 |
8 |
|i Print version:
|a Argyros, S. 1950-
|t Methods in the theory of hereditarily indecomposable Banach spaces /
|x 0065-9266
|z 9780821835210
|
830 |
|
0 |
|a Memoirs of the American Mathematical Society ;
|v no. 806.
|x 0065-9266
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856 |
4 |
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|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114080
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