A complete characterization of Birkhoff-James orthogonality in infinite dimensional normed space
In this paper, we study Birkhoff-James orthogonality of bounded linear operators and give a complete characterization of Birkhoff-James orthogonality of bounded linear operators on infinite dimensional real normed linear spaces.
Mal, Arpita +2 more
core +1 more source
Pseudospectra of the direct sum of linear operators in ultrametric Banach spaces
In this paper, a characterization of essential pseudospectra of bounded linear operators on ultrametric Banach spaces over a spherically complete field was given and the notions of pseudospectra and condition pseudospectra of the direct sum of linear ...
J. Ettayb
doaj +1 more source
Approximation on a class of Szász–Mirakyan operators via second kind of beta operators
In the present article, we construct a new sequence of positive linear operators via Dunkl analogue of modified Szász–Durrmeyer operators. We study the moments and basic results.
M. Nasiruzzaman +3 more
doaj +1 more source
A Dichotomy for Linear Spaces of Toeplitz Operators
For a Hilbert space \(H\), \(B(H)\) denotes the algebra of all bounded linear operators on \(H\); and the reflexive closure of a subspace \(S\) in \(B(H)\) is defined by: \[ \text{ref}(S)= \{T\in B(H); T(f)\in\overline{S(f)}, \forall f\in H\}. \] \(S\) is said to be reflexive if \(\text{ref}(S)= S\), and transitive if \(\text{ref}(S)= B(H)\).
Azoff, Edward A, Ptak, Marek
openaire +2 more sources
Linear Maps that Preserve Any Two Term Ranks on Matrix Spaces over Anti-Negative Semirings
There are many characterizations of linear operators from various matrix spaces into themselves which preserve term rank. In this research, we characterize the linear maps which preserve any two term ranks between different matrix spaces over anti ...
Kyung Tae Kang +2 more
doaj +1 more source
Generalization of Szász–Mirakjan–Kantorovich operators using multiple Appell polynomials
The purpose of the present paper is to introduce and study a sequence of positive linear operators defined on suitable spaces of measurable functions on [ 0 , ∞ ) $[0,\infty )$ and continuous function spaces with polynomial weights.
Chetan Swarup +3 more
doaj +1 more source
On some geometric properties of operator spaces
In this paper we study some geometric properties like parallelism, orthogonality and semi-rotundity in the space of bounded linear operators. We completely characterize parallelism of two compact linear operators between normed linear spaces $\mathbb{X} $
Mal, Arpita +2 more
core +1 more source
Approximation of Linear Operators on a Weiner Space
We study optimal algorithms and optimal information in an average case model for linear problems in a Wiener space. We show that a linear algorithm is optimal among all algorithms. We illustrate the theory by interpolation, integration and approximation. We prove that adaption does not help.
openaire +4 more sources
Revealing the structure of land plant photosystem II: the journey from negative‐stain EM to cryo‐EM
Advances in cryo‐EM have revealed the detailed structure of Photosystem II, a key protein complex driving photosynthesis. This review traces the journey from early low‐resolution images to high‐resolution models, highlighting how these discoveries deepen our understanding of light harvesting and energy conversion in plants.
Roman Kouřil
wiley +1 more source
Reciprocal control of viral infection and phosphoinositide dynamics
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley +1 more source

