Fill in the blanks. Suppose and are inner product spaces,, and. Then the tensor product is an element of ______ defined by _______.

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Fill in the blanks. Suppose<br><img src='https://www.fatskills.com/images2/GradExams/46966CA9-BBE0-4719-A5E2-76FC70B11887.png' height='15' width='14'/> and<br><img src='https://www.fatskills.com/images2/GradExams/7E6CE585-FD6D-4F40-8C61-9F190AB2135E.png' height='15' width='20'/> are inner product spaces,<br><img src='https://www.fatskills.com/images2/GradExams/C14B52AA-4252-4B8D-85CC-8F384F12DCCE.png' height='15' width='50'/>, and<br><img src='https://www.fatskills.com/images2/GradExams/3C151443-67F6-489E-9056-5E2F3A7B78F2.png' height='15' width='60'/>. Then the tensor product<br><img src='https://www.fatskills.com/images2/GradExams/59BEDD2C-F47E-48ED-88F7-7FDCE5F7AB07.png' height='14' width='48'/> is an element of ______ defined by _______.