Approximate Birkhoff–James orthogonality and smoothness in the space of bounded linear operators
نویسندگان
چکیده
منابع مشابه
INTUITIONISTIC FUZZY BOUNDED LINEAR OPERATORS
The object of this paper is to introduce the notion of intuitionisticfuzzy continuous mappings and intuitionistic fuzzy bounded linear operatorsfrom one intuitionistic fuzzy n-normed linear space to another. Relation betweenintuitionistic fuzzy continuity and intuitionistic fuzzy bounded linearoperators are studied and some interesting results are obtained.
متن کاملComplex Banach Space of Bounded Linear Operators
Let X be a set, let Y be a non empty set, let F be a function from [: C, Y :] into Y , let c be a complex number, and let f be a function from X into Y . Then F ◦(c, f) is an element of Y X . We now state the proposition (1) Let X be a non empty set and Y be a complex linear space. Then there exists a function M1 from [: C, (the carrier of Y ) X :] into (the carrier of Y ) such that for every C...
متن کاملBanach Space of Bounded Linear Operators
Let X be a set, let Y be a non empty set, let F be a function from [: R, Y :] into Y , let a be a real number, and let f be a function from X into Y . Then F ◦(a, f) is an element of Y X . One can prove the following propositions: (1) Let X be a non empty set and Y be a non empty loop structure. Then there exists a binary operation A1 on (the carrier of Y ) X such that for all elements f , g of...
متن کاملOn Approximate Birkhoff-James Orthogonality and Approximate $ast$-orthogonality in $C^ast$-algebras
We offer a new definition of $varepsilon$-orthogonality in normed spaces, and we try to explain some properties of which. Also we introduce some types of $varepsilon$-orthogonality in an arbitrary $C^ast$-algebra $mathcal{A}$, as a Hilbert $C^ast$-module over itself, and investigate some of its properties in such spaces. We state some results relating range-kernel orthogonality in $C^*$-algebras.
متن کاملStability of essential spectra of bounded linear operators
In this paper, we show the stability of Gustafson, Weidmann, Kato, Wolf, Schechter and Browder essential spectrum of bounded linear operators on Banach spaces which remain invariant under additive perturbations belonging to a broad classes of operators $U$ such $gamma(U^m)
متن کاملذخیره 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: Monatshefte für Mathematik
سال: 2019
ISSN: 0026-9255,1436-5081
DOI: 10.1007/s00605-019-01289-3