Lattice Copies of <inline-formula><mml:math id="M1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>ℓ</mml:mi><mml:mn mathvariant="bold">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>
 in <inline-formula><mml:math id="M2" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mn mathvariant="bold">1</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of a Vector Measure and Strongly Orthogonal Sequences

<table>Functions <svg height="14.6" id="M226" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 33.900002 14.6" width="33.900002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.6)">
<g transform="translate(72,-60.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑓</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.01,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
</text>
<text transform="matrix(1,0,0,-1,-60.14,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">𝑥</tspan>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">)</tspan>
</text>
</g>
</g>
</svg>, <svg height="14.6" id="M227" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 33.900002 14.6" width="33.900002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.6)">
<g transform="translate(72,-60.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑓</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.01,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
</text>
<text transform="matrix(1,0,0,-1,-60.14,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">𝑥</tspan>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">)</tspan>
</text>
</g>
</g>
</svg>, and <svg height="14.75" id="M228" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 33.900002 14.75" width="33.900002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.75)">
<g transform="translate(72,-60.2)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑓</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.01,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">3</tspan>
</text>
<text transform="matrix(1,0,0,-1,-60.14,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">𝑥</tspan>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">)</tspan>
</text>
</g>
</g>
</svg> in Example <a href="https://static.hindawi.com/articles/jfs/volume-2012/357210/figures/#ex3.1">3.1</a>.</table>

Journal of Function Spaces

fig1

Figure 1

Figure 1: Lattice Copies of <inline-formula><mml:math id="M1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>ℓ</mml:mi><mml:mn mathvariant="bold">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>
 in <inline-formula><mml:math id="M2" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mn mathvariant="bold">1</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of a Vector Measure and Strongly Orthogonal Sequences 

Journal of Function Spaces

Lattice Copies of ℓ2 in L1 of a Vector Measure and Strongly Orthogonal Sequences

Figure 1