Set theoretical aspects of the Banach space l∞/c0
نویسندگان
چکیده
منابع مشابه
On the character space of Banach vector-valued function algebras
Given a compact space $X$ and a commutative Banach algebra $A$, the character spaces of $A$-valued function algebras on $X$ are investigated. The class of natural $A$-valued function algebras, those whose characters can be described by means of characters of $A$ and point evaluation homomorphisms, is introduced and studied. For an admissible Banach $A$-valued function algebra...
متن کاملWeak Banach-Saks property in the space of compact operators
For suitable Banach spaces $X$ and $Y$ with Schauder decompositions and a suitable closed subspace $mathcal{M}$ of some compact operator space from $X$ to $Y$, it is shown that the strong Banach-Saks-ness of all evaluation operators on ${mathcal M}$ is a sufficient condition for the weak Banach-Saks property of ${mathcal M}$, where for each $xin X$ and $y^*in Y^*$, the evaluation op...
متن کاملSeparable Banach Space Theory Needs Strong Set Existence Axioms
We investigate the strength of set existence axioms needed for separable Banach space theory. We show that a very strong axiom, Π1 comprehension, is needed to prove such basic facts as the existence of the weak-∗ closure of any norm-closed subspace of `1 = c0. This is in contrast to earlier work [6, 4, 7, 23, 22] in which theorems of separable Banach space theory were proved in very weak subsys...
متن کاملCovering a Compact Set in a Banach Space by an Operator Range of a Banach Space with Basis
A Banach space X has the approximation property if and only if every compact set in X is in the range of a one-to-one bounded linear operator from a space that has a Schauder basis. Characterizations are given for Lp spaces and quotients of Lp spaces in terms of covering compact sets in X by operator ranges from Lp spaces. A Banach space X is a L1 space if and only if every compact set in X is ...
متن کاملthe study of practical and theoretical foundation of credit risk and its coverage
پس از بررسی هر کدام از فاکتورهای نوع صنعت, نوع ضمانت نامه, نرخ بهره , نرخ تورم, ریسک اعتباری کشورها, کارمزد, ریکاوری, gdp, پوشش و وثیقه بر ریسک اعتباری صندوق ضمانت صادرات ایران مشخص گردید که همه فاکتورها به استثنای ریسک اعتباری کشورها و کارمزد بقیه فاکتورها رابطه معناداری با ریسک اعتباری دارند در ضمن نرخ بهره , نرخ تورم, ریکاوری, و نوع صنعت و ریسک کشورها اثر عکس روی ریسک اعتباری داردو پوشش, وثی...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2004
ISSN: 0168-0072
DOI: 10.1016/j.apal.2003.11.023