Abstract
We introduce a different class of s-type operators by using the generalized weighted mean sequence space c0 (u, v), then it is shown that this new class of operators is a quasi-Banach operator ideal. Moreover, their injectivity and surjectivity are investigated according to sort of s-number. Finally, we proof that it is a closed operator ideal under some conditions.
Keywords
Mathematics
Operator (biology)
Ideal (ethics)
Sequence (biology)
Compact operator
Multiplication operator
Finite-rank operator
Class (philosophy)
Type (biology)
Operator space
Banach space
Strictly singular operator
sort
Sequence space
Pseudo-monotone operator
Space (punctuation)
Pure mathematics
Discrete mathematics
Arithmetic
Computer science
Hilbert space
Artificial intelligence
Extension (predicate logic)
Subject Areas
Approximation Theory and Sequence Spaces
·Statistics and Probability ·Physical Sciences
Advanced Banach Space Theory
·Mathematical Physics ·Physical Sciences
Advanced Harmonic Analysis Research
·Applied Mathematics ·Physical Sciences
Citations by Year
2019: 1
2023: 1
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