Results 11 to 20 of about 373,665 (180)

Condition pseudospectrum in non-Archimedean Banach spaces [PDF]

open access: yesJournal of Mahani Mathematical Research
In this article, we introduce and study the condition pseudospectrum of bounded linear operator pencils on non-Archimedean Banach spaces. We obtain a characterization of the condition pseudospectrum of bounded linear operator pencils on non-Archimedean ...
Jawad Ettayb
doaj   +1 more source

About Riesz theory of compact operators

open access: yesBibechana, 2012
In this paper, it is shown that every compact operators are bounded and continuous. The bounded and continuous properties of an operator is sufficient for a Riesz operator.
Nagendra Pd Sah
doaj   +3 more sources

Propertiesandfor Bounded Linear Operators [PDF]

open access: yesJournal of Mathematics, 2013
We shall consider properties which are related to Weyl type theorem for bounded linear operators , defined on a complex Banach space . These properties, that we callproperty, means that the set of all poles of the resolvent of of finite rank in the usual spectrum are exactly those points of the spectrum for which is an upper semi-Fredholm with index ...
openaire   +5 more sources

Some special characterisations of Fredholm operators in Banach space

open access: yesBibechana, 2014
A bounded linear operator which has a finite index and which is defined on a Banach space is often referred to in the literature as a Fredholm operator. Fredholm operators are important for a variety of reasons, one being the role that their index plays
Mahendra Shahi
doaj   +3 more sources

2-Semi-Bounded Linear Operators

open access: yesJournal of Al-Qadisiyah for Computer Science and Mathematics, 2023
      In this Article, we introduced a new definition of 2- semi bounded operator in 2- inner product space. Then, we investigate a new Space of bounded operators and proved it as vector space. After that we show this space as Banach space. Finally, we discussed some properties of this space.
Ahmed M Azeez, Laith K Shaakir
openaire   +1 more source

On Assignment of the Upper Bohl Exponent for Linear Time-Invariant Control Systems in a Hilbert Space by State Feedback

open access: yesMathematics, 2020
We consider a linear continuous-time control system with time-invariant linear bounded operator coefficients in a Hilbert space. The controller in the system has the form of linear state feedback with a time-varying linear bounded gain operator function.
Vasilii Zaitsev, Marina Zhuravleva
doaj   +1 more source

A weak Hilbert space with few symmetries [PDF]

open access: yes, 2009
We construct a weak Hilbert Banach space such that for every block subspace $Y$ every bounded linear operator on Y is of the form D+S where S is a strictly singular operator and D is a diagonal operator.
Argyros, Spiros A.   +2 more
core   +3 more sources

On the boundedness of operators in LP(ιq) and Triebel-Lizorkin Spaces

open access: yesJournal of Function Spaces and Applications, 2008
Given a bounded linear operator T:LPO(ℝn)→Lp1(ℝn), we state conditions under which T defines a bounded operator between corresponding pairs of Lp(ℝn;ιq) spaces and Triebel-Lizorkin spaces Fp,qs(ℝn).
João Pedro Boto
doaj   +1 more source

Compact well-bounded operators [PDF]

open access: yes, 2001
Every compact well-bounded operator has a representation as a linear combination of disjoint projections reminiscent of the representation of compact self-adjoint operators. In this note we show that the converse of this result holds, thus characterizing
Doust, I., Qingping, C.
core   +2 more sources

Note on the Invariance Properties of Operator Products Involving Generalized Inverses

open access: yesAbstract and Applied Analysis, 2014
We investigate further the invariance properties of the bounded linear operator product AC1 B1 D and its range with respect to the choice of the generalized inverses X and Y of bounded linear operators.
Xiaoji Liu, Miao Zhang, Yaoming Yu
doaj   +1 more source

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