Contractive projections on Banach space
نویسندگان
چکیده
منابع مشابه
Contractive Projections on Banach Spaces
Increasing sequences of contractive projections on a reflexive LP space share an unconditionality property similar to that exhibited sequences of self-adjoint projections on a Hilbert space. A slight variation of this property is shown to be precisely the correct condition on a reflexive Banach space to ensure that every operator with a contractive AC-functional calculus is scalar-type spectraL
متن کاملImages of contractive projections on operator algebras
It is shown that if P is a weak∗-continuous contractive projection on a JBW∗-triple M , then P(M) is of type I or semifinite, respectively, if M is of the corresponding type. We also show that P(M) has no infinite spin part if M is a type I von Neumann algebra. 2002 Elsevier Science (USA). All rights reserved.
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Correspondence: [email protected] School of Mathematical Sciences, Yancheng Teachers University, Yancheng, 224051, Jiangsu, PR China Abstract In this paper, we obtain some new fixed point theorems and existence theorems of solutions for the equation Ax = μx using properties of strictly convex (concave) function and theories of topological degree. Our results and methods are different f...
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We show that the convergences of Jungck, JungckMann, Jungck-Ishikawa, Jungck-Noor and Jungck-multistep iteration processes are equivalent for a class of generalized contractivelike operators defined on a Banach space. Our results are generalizations and extensions of the work of Soltuz [20, 21], Zhiqun [23] and some other numerous ones in literature.
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1986
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700010133