Projections from L ( X , Y ) onto K ( X , Y ) Kamil
نویسندگان
چکیده
Generalization of certain results in [Sap] and simplification of the proofs are given. We observe e.g.: Let X and Y be Banach spaces such that X is weakly compactly generated Asplund space and X has the approximation property (respectively Y is weakly compactly generated Asplund space and Y ∗ has the approximation property). Suppose that L(X, Y ) 6= K(X,Y ) and let 1 < λ < 2. Then X (respectively Y ) can be equivalently renormed so that any projection P of L(X, Y ) onto K(X,Y ) has the sup-norm greater or equal to λ.
منابع مشابه
بررسی آلودگی های انگلی ماهیان آکواریوم آب شیرین استان تهران
?lU: | |OI???@è?kâ?|?B? A??é? ?B??B?@??Aoü?ï@J y?pü? koAuPB? OùpA?. ?pf: ?????â| ?p? O?Bk??. c??A?BR: | |8001 ?CI? ?B?? @??Aoü???|?PIéU G? y{ â??? ?hPé?. oô}: | |K?uQ, GBè? ?B, @Gz{, ^zî, g??, kuP?Bû â?Ao}, ?Hl, ?é??, ?d??? y???, ??v? y?B ôI?çR ?p?CI? ?B?? Aq?Ep@è?kâ? A??é? Gpou? yl, GpA? Aü? ??E?oAqu?|A?lAï Aôë âvPp} ?p??J, Aqg?? âvPp} ?Bq? ôo?? @??r? @? GBâ??vB ô |Aq | uBüpA?lA?ùB G? kè...
متن کاملProjection Inequalities and Their Linear Preservers
This paper introduces an inequality on vectors in $mathbb{R}^n$ which compares vectors in $mathbb{R}^n$ based on the $p$-norm of their projections on $mathbb{R}^k$ ($kleq n$). For $p>0$, we say $x$ is $d$-projectionally less than or equal to $y$ with respect to $p$-norm if $sum_{i=1}^kvert x_ivert^p$ is less than or equal to $ sum_{i=1}^kvert y_ivert^p$, for every $dleq kleq n$. For...
متن کاملGeneralized states on EQ-algebras
In this paper, we introduce a notion of generalized states from an EQ-algebra E1 to another EQ-algebra E2, which is a generalization of internal states (or state operators) on an EQ-algebra E. Also we give a type of special generalized state from an EQ-algebra E1 to E1, called generalized internal states (or GI-state). Then we give some examples and basic properties of generalized (internal) st...
متن کاملCoupled systems of equations with entire and polynomial functions
We consider the coupled system$F(x,y)=G(x,y)=0$,where$$F(x, y)=bs 0 {m_1} A_k(y)x^{m_1-k}mbox{ and } G(x, y)=bs 0 {m_2} B_k(y)x^{m_2-k}$$with entire functions $A_k(y), B_k(y)$.We derive a priory estimates for the sums of the rootsof the considered system andfor the counting function of roots.
متن کاملStability of generalized QCA-functional equation in P-Banach spaces
In this paper, we investigate the generalizedHyers-Ulam-Rassias stability for the quartic, cubic and additivefunctional equation$$f(x+ky)+f(x-ky)=k^2f(x+y)+k^2f(x-y)+(k^2-1)[k^2f(y)+k^2f(-y)-2f(x)]$$ ($k in mathbb{Z}-{0,pm1}$) in $p-$Banach spaces.
متن کامل