The convergence of Abel averages and application to ordered Banach algebras
Sign Up to like & getrecommendations! Published in 2021 at "Positivity"
DOI: 10.1007/s11117-021-00813-w
Abstract: Let $${\mathcal {B}}(X)$$ be the Banach algebra of all bounded linear operators on a Banach space X into itself. In this paper, we extend and simplify some results concerning the convergence in norm of Abel… read more here.
Keywords: abel; banach algebra; banach; convergence ... See more keywords
Additive Results for the Generalized Drazin Inverse in a Banach Algebra
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-015-0143-z
Abstract: Under new conditions on Banach algebra elements a and b, we derive explicit expressions for the generalized Drazin inverse of the sum $$a+b$$a+b. As an application of our results, we present new representations for the… read more here.
Keywords: drazin inverse; banach algebra; additive results; generalized drazin ... See more keywords
Extended g-Drazin Inverse in a Banach Algebra
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-019-00722-y
Abstract: We introduce and investigate a new generalized inverse as an extension of the g-Drazin inverse in a Banach algebra. This new inverse will be called an extended g-Drazin inverse. Using idempotents, we characterize this inverse… read more here.
Keywords: banach algebra; inverse banach; extended drazin; drazin inverse ... See more keywords
n-SOT Hypercyclic Linear Maps on Banach Algebra of Operators
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-018-0140-8
Abstract: Let B(X) be the algebra of bounded linear operators on a Banach space X. A subset E of B(X) is said to be n-SOT dense in B(X) if for every continuous linear operator $$\Lambda $$Λ… read more here.
Keywords: sot hypercyclic; linear maps; hypercyclic linear; maps banach ... See more keywords
Weighted pre-orders in a Banach algebra
Sign Up to like & getrecommendations! Published in 2017 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2017.07.027
Abstract: Abstract Several new pre-orders are introduced and characterized on the set of all wg -Drazin invertible elements of a Banach algebra. We generalize recent results for rectangular matrices and bounded linear operators between Banach spaces,… read more here.
Keywords: orders banach; pre orders; banach algebra; weighted pre ... See more keywords
THE BOCHNER–SCHOENBERG-EBERLEIN PROPERTY OF EXTENSIONS OF BANACH ALGEBRAS AND BANACH MODULES
Sign Up to like & getrecommendations! Published in 2021 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972721000502
Abstract: Abstract Let A be a Banach algebra and let X be a Banach A-bimodule. We consider the Banach algebra ${A\oplus _1 X}$ , where A is a commutative Banach algebra. We investigate the Bochner–Schoenberg–Eberlein (BSE)… read more here.
Keywords: property; banach algebra; banach; bochner schoenberg ... See more keywords
Explicit formulae for the generalized drazin inverse of block matrices over a Banach algebra
Sign Up to like & getrecommendations! Published in 2018 at "Filomat"
DOI: 10.2298/fil1817907z
Abstract: In this paper, we give expressions for the generalized Drazin inverse of a (2,2,0) block matrix over a Banach algebra under certain circumstances, utilizing which we derive the generalized Drazin inverse of a 2× 2… read more here.
Keywords: drazin inverse; inverse block; banach algebra; generalized drazin ... See more keywords