Operator integrals and sesquilinear forms
نویسندگان
چکیده
منابع مشابه
A Primer on Sesquilinear Forms
The dot product is an important tool for calculations in Rn. For instance, we can use it to measure distance and angles. However, it doesn’t come from just the vector space structure on Rn – to define it implicitly involves a choice of basis. In Math 67, you may have studied inner products on real vector spaces and learned that this is the general context in which the dot product arises. Now, w...
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Over a field or skew field F with an involution a 7→ ã (possibly the identity involution), each singular square matrix A is *congruent to a direct sum S∗AS = B ⊕ Jn1 ⊕ · · · ⊕ Jnp , 1 ≤ n1 ≤ · · · ≤ np, in which S is nonsingular and S∗ = S̃ ; B is nonsingular and is determined by A up to *congruence; and the ni-by-ni singular Jordan blocks Jni and their multiplicities are uniquely determined by ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2014
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2013.11.045