Laurent series for inversion of linearly perturbed bounded linear operators on Banach space
نویسندگان
چکیده
منابع مشابه
Complex 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...
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The terminology and notation used here are introduced in the following articles: [18], [8], [20], [5], [7], [6], [3], [1], [17], [13], [19], [14], [2], [4], [15], [10], [11], [9], and [12]. One can prove the following propositions: (1) Let X, Y , Z be complex linear spaces, f be a linear operator from X into Y , and g be a linear operator from Y into Z. Then g · f is a linear operator from X in...
متن کاملThe Banach Algebra of Bounded Linear Operators
The papers [21], [8], [23], [25], [24], [5], [7], [6], [19], [4], [1], [2], [18], [10], [22], [13], [3], [20], [16], [15], [9], [12], [11], [14], and [17] provide the terminology and notation for this paper. Let X be a non empty set and let f , g be elements of X . Then g · f is an element of X . One can prove the following propositions: (1) Let X, Y , Z be real linear spaces, f be a linear ope...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2010
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2009.12.007