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Title:           Nuclearity and Grothendieck-Lidskii formula for quaternionic operators
Subject:         Advances in Mathematics, 442 (2024) 109558. 10.1016/j.aim.2024.109558
Author:          P. Cerejeiras
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     Item: 
      Title: Nuclearity and Grothendieck-Lidskii formula for quaternionic operators
      Destination: yaima109558.title.0:1
      Children: 
       Item: 
        Title: 1 Introduction
        Destination: yaima109558.section.1:2
       Item: 
        Title: 2 Preliminaries
        Destination: yaima109558.section.2:3
        Children: 
         Item: 
          Title: 2.1 Quaternionic vector spaces
          Destination: yaima109558.subsection.1:4
         Item: 
          Title: 2.2 Entire functions
          Destination: yaima109558.subsection.2:5
         Item: 
          Title: 2.3 Tensor products of H-vector spaces
          Destination: yaima109558.subsection.3:9
       Item: 
        Title: 3 Finite-rank operators in quaternionic vector spaces
        Destination: yaima109558.section.3:11
        Children: 
         Item: 
          Title: 3.1 Companion matrices and associated invariants
          Destination: yaima109558.subsection.1:12
         Item: 
          Title: 3.2 Representations of the trace and determinant of a quaternionic finite-rank operator
          Destination: yaima109558.subsection.2:21
       Item: 
        Title: 4 Singular value decompositions and trace-class operators
        Destination: yaima109558.section.4:26
        Children: 
         Item: 
          Title: 4.1 Hilbert spaces over the quaternions
          Destination: yaima109558.subsection.1:27
         Item: 
          Title: 4.2 Trace-class operators and the Grothendieck-Lidskii formula
          Destination: yaima109558.subsection.2:32
         Item: 
          Title: 4.3 Further results for operators in quaternionic Hilbert spaces
          Destination: yaima109558.subsection.3:38
       Item: 
        Title: 5 The case of quaternionic Banach spaces
        Destination: yaima109558.section.5:41
        Children: 
         Item: 
          Title: 5.1 Nuclear operators in Banach spaces
          Destination: yaima109558.subsection.1:42
         Item: 
          Title: 5.2 The Grothendieck-Lidskii formula in quaternionic Banach spaces
          Destination: yaima109558.subsection.2:45
       Item: 
        Title: 6 Locally convex spaces over the quaternions and p-summable Fredholm operators
        Destination: yaima109558.section.6:47
        Children: 
         Item: 
          Title: 6.1 Fredholm and nuclear operators
          Destination: yaima109558.subsection.1:48
         Item: 
          Title: 6.2 Tensor products and the canonical balanced form
          Destination: yaima109558.subsection.2:52
         Item: 
          Title: 6.3 Tensor products, right-linear operators, and Fredholm kernels
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         Item: 
          Title: 6.4 The quaternionic Grothendieck-Lidskii formula
          Destination: yaima109558.subsection.4:58
       Item: 
        Title: Appendix A Well-definiteness of the quaternionic Fredholm determinant in Hilbert spaces
        Destination: yaima109558.appendix.1:66
       Item: 
        Title: References
        Destination: yaima109558.section.6:72
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  Checksum: e13edf4f
   Type: CRC32
  Checksum: 66c7d2fe6b7ee7a1ecd074bdbc71e303
   Type: MD5
  Checksum: 280aed9f50c1582d3aa6e1029dc56d302f924ecb
   Type: SHA-1
  Checksum: 93c11b02b4d3a0ed7f116201af5cb8e8affd4ff1746773976a08b27238cb2515
   Type: SHA-256