On complete-cocomplete subspaces of an inner product space

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the (non)existence of States on Orthogonally Closed Subspaces in an Inner Product Space

Suppose that S is an incomplete inner product space. In [2] A. Dvurečenskij shows that there are no finitely additive states on orthogonally closed subspaces, F (S), of S that are regular with respect to finitely dimensional spaces. In this note we show that the most important special case of the former result—the case of the evaluations given by vectors in the “Gleason manner”—allows for a rel...

متن کامل

Ela Real and Complex Invariant Subspaces for Matrices Which Are H-positive Real in an Indefinite Inner Product Space

In this paper, the equivalence of the existence of unique real and complex A-invariant semidefinite subspaces for real H-positive real matrices are shown.

متن کامل

Ela Numerical Ranges of an Operator on an Indefinite Inner Product Space

For n n complex matrices A and an n n Hermitian matrix S, we consider the S-numerical range of A and the positive S-numerical range of A de ned by WS(A) = hAv; viS hv; viS : v 2 I Cn; hv; viS 6= 0

متن کامل

Numerical ranges of an operator on an indefinite inner product space

For n n complex matrices A and an n n Hermitian matrix S, we consider the S-numerical range of A and the positive S-numerical range of A de ned by WS(A) = hAv; viS hv; viS : v 2 I Cn; hv; viS 6= 0

متن کامل

On Generalized Numerical Ranges of Operators on an Indefinite Inner Product Space

In this paper, numerical ranges associated to operators on an indefinite inner product space are investigated. Boundary generating curves, corners, shapes and computer generations of these sets are studied. In particular, the MurnaghanKippenhahn theorem for the classical numerical range is generalized.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Applications of Mathematics

سال: 2005

ISSN: 0862-7940,1572-9109

DOI: 10.1007/s10492-005-0007-1