New Results on the Sequence Spaces Inclusion Equations of the Form <inline-formula><math display="inline"><semantics><mrow><mi>F</mi><mo>⊂</mo><mi mathvariant="script">E</mi><mo>+</mo><msubsup><mi>F</mi><mi>x</mi><mo>′</mo></msubsup></mrow></semantics></math></inline-formula> Where <i>F</i>, <i>F</i>′ ∈ {<i>w</i>₀, <i>w</i>, <i>w</i>_∞}

Abstract

We determine the multipliers M(X,Y) where X, Y∈{w0,w,w∞}, and we apply these results to the solvability of both the (SSIE) of the form F⊂E+wx, where F∈{w0,w,w∞}, and the (SSIE) w⊂E+Wx0 and w⊂E+Wx.

Keywords

• BK space
• matrix transformations
• multiplier of sequence spaces
• sequence spaces inclusion equations
• strongly summable sequences