Multiplication Operators on Musielak-Orlicz Spaces of Bochner Type

Abstract

The invertible, closed range, compact and Fredholm Multiplication operators are characterized in this paper.

Viewing *-multiplication operators between Orlicz spaces

“…Later, Jabbarzadeh and Sarbaz in [5] have characterized the Lambert multipliers acting between two L p -spaces, by using some properties of conditional expectation operator. Also, Multiplication operators have been a subject of research of many mathematicians, see for instance, [11,14,15]. In this paper, Lambert multipliers acting between Orlicz spaces are characterized.…”

The spectrum generated by s-numbers and pre-quasi normed Orlicz-Cesáro mean sequence spaces

“…The multiplication operator and operator ideal theorems have been give importance in functional analysis, since they have various applications in the fixed point theorem, geometry of Banach spaces, spectral theory, eigenvalue distribution theorem etc. For more details see [20][21][22][23][24][25][26]. On sequence spaces, Mursaleen and Noman [27] studied the Compact operators on some difference sequence spaces, Komal and Gupta [28] investigated the multiplication operators on Orlicz spaces equipped with the Luxemburg norm and Komal et al [29] examined the multiplication operators on Cesáro sequence spaces equipped with the Luxemburg norm.…”

Eigenvalues of s-type operators on $C(p)$ equipped with a pre-quasi norm

“…The multiplication operators and operator ideals theorems give an importance in functional analysis, since it has numerous applications in fixed point theorem, geometry of Banach spaces, spectral theory and eigenvalue distributions theorem etc. For more details see [3][4][5][6][7][8][9][10][11][12][13][14]). On sequence spaces, Mursaleen and Noman (see [15]) investigated the compact operators on some difference sequence spaces, Komal and Gupta (see [16]) studied the multiplication operators on Orlicz spaces equipped with the Luxemburg norm and Komal et al (see [17]) examined the multiplication operators on Cesáro sequence spaces equipped with the Luxemburg norm.…”